Is a problem to chronology only if you forget Luke was written in 
Greek not Latin.  Syria in classical Greek writings often refers to more 
then just the Roman province given that name, same as Asia, Africa and 
Libya did.  It often included modern Lebanon, Israel, Jordan and parts 
of Modern Turkey like Commenge and Cilicia specifically.
The word
 translated Governor here (Hegemoneuo Strongs#2230) is first NOT 
whatever his actual Roman title was, but a Greek word, and 2nd it’s not 
even a Noun hence not even a title, it’s a Verb which means “to rule, 
command”.  A more accurate translation could conceivably be “Was 
Governing in Syria”.  The word is used in Luke and Acts for Pilate (Who 
was Prefect, never a title Quirinus held) and other latter Roman 
Procurators.
Josephus mentioned that actually there were “governors” (plural) in Syria during the rule of Saturninus.  (Josephus, 
Antiquities
 XVI.280, 285, 357, 361.)  While during the governorships of 
Titius and Quintilius Varus, Josephus spoke of a “governor” (singular), 
(Josephus, 
Antiquities XVII.89.) but during the administration of Saturninus why does he mention the plural “governors”?
From
 about 5-3 BC or 12-1 BC Quirinus was leading a military campaign in Galatia 
and Cilicia against the Homonadenses, we’re not certain what title he 
held while doing this, but either way he would have 
qualified as a “Governing in Syria” at this time.  Quirinus was rector or
 adviser to Gaius Caesar when holding Armenia (Tacitus, Ann. 3:48).  The
 nearness of Syria to Armenia was probably a reason for choosing 
Qurinus, Syria’s governor, to be the young prince’s adviser.
Based on what Josephus says of the History surrounding Herod’s death, 
the Legate of Syria at the time I date the Nativity was Saturninus 
(Agreeing with Tertullian, An Answer to the Jews, ch.8.) And Varus at 
the time The Magi came to Jerusalem.  Quirinius’ war against the 
Homonadenses, for which Tacitus singled him out for praise, has been 
called a “special command.” ( Hugh Last, quoted by Rice Holmes in 
“Architect of the Roman Empire,” II.89, note 1.)  This status is also 
reflected in an inscription which mentions Quirinius “as holding an 
honorary municipal office at Antioch-by-Pisidia.” (Sherwin-White, Roman 
Society and Roman Law in the New Testament, 165.) And it was certainly a
 special command for Quirinius when he became rector of the young Gaius 
Caesar when Gaius acquired residential authority at Antioch over the 
eastern provinces in A.D. 1. (Tacitus, Annals, III.48.)  Gaius was 
probably not strictly called the governor of Syria at the time (C.E. 1 
to 4) and it may well be that Quirinius was responsible for running the 
everyday affairs of government.
Tacitus said that Quirinius was one 
having “considerable talents for business.” This could account for his 
selection as being “guardian” of Gaius who was the heir to the Empire.  Quirinius already had 
experience in Syria by administering the censuses Tertullian talked 
about in 3/2 B.C. which took place during the time when Saturninus was 
governor. All these references indicate special commands for Quirinius 
throughout his entire governmental career. There are other historical 
records about Quirinius which show his special assignments.
Luke 
mentions Herod at this time just like Matthew does, if Luke had the 6 AD
 Census in mind he’d have also mentioned Coponius who was appointed at 
that same time and was far more relevant to Judea directly.  
Census
 is another example of a term often used more loosely by some then 
others, none of the normal Roman Censuses happen in 3 or 2 BC when I 
date the Nativity, but isn’t the context Luke implies itself Abnormal?  
Luke implies an Empire wide event, the 6 AD Census was Local only.
2
 BC marked the 750th Anniversary of Rome’s founding according to Roman 
Tradition, as well as the 25th Anniversary of Octavian being proclaimed 
Augustus.  On February 5, 2BC, the Senate and the people of Rome awarded
 him the highest of all decorations: 
Pater Patriae (Father of 
the Country).  In preparation for this the previous year an “Oath of 
Obedience” to Augustus was carried out.  Such an Oath could have by some 
fit the basic definition of a Census.
Josephus mentioned that an oath of allegiance was demanded by 
Augustus about twelve or fifteen months before the death of Herod 
[Antiquities, XVII, 41-45 “There was moreover a certain sect of Jews who
 valued themselves highly for their exact knowledge of the law; and 
talking much of their contact with God, were greatly in favor with the 
women {of Herod’s court}. They are called Pharisees. They are men who 
had it in their power to control kings; extremely subtle, and ready to 
attempt anything against those whom they did not like. When therefore 
the whole Jewish nation took an OATH to be faithful to Caesar, and [to] 
the interests of the king, these men, to the number of above six 
thousand, refused to swear. The king laid a fine upon them. Pheroras’ 
wife {Herod’s sister-in-law} paid the money for them. They, in requital 
for her kindness {for they were supposed, by their great intimacy with 
God, to have attained to the gift of prophecy}, prophesied that God 
having decreed to put an end to the government of Herod and his race, 
the kingdom would be transferred to her and Pheroras and their children.
 Salome {Herod’s sister}, who was aware of all that was being said, came
 and told the king of them. She also told him that many of the court {of
 Herod} were corrupted by them. Then the king put to death the most 
guilty of the Pharisees, and Bagoas the eunuch, and one Carus, the most 
beautiful young man about the court, and the great instrument in the 
king’s unlawful pleasures. He {Herod} likewise slew everyone in his own 
family, who adhered to those things which were said by the Pharisee. But
 Bagoas had been elevated by them and was told that he should someday be
 called father and benefactor of the {new} king, who was to be appointed
 according to their prediction, for this king would have all things in 
his power, and that he {the king} would give him {Bogoas} the capacity 
of marriage, and of having children of his own”].
Herod's Death is often miss-dated, I’m not go into that in detail 
here, but he died in January of 1 BC, not in 4 BC.  4 B.C. is the year 
his killed his Eldest son and his remaining Sons where appointed their 
various Tetrachies, causing the confusion since their reigns are dated 
from then.
15 months before gives us October of 3 BC, since 
people would have been given advance warning, it’s easy to see this 
putting Joseph and Mary in Bethlehem on September 11th 3 BC, the 1st of 
Tishri that year and thus the day I believe Jesus was born.  And on 
that day Jupiter was in Conjunction in Regulus the brightest Star of the 
Constellation Leo The Lion, a very rare Astronomical event, that 
Astrologers would easily have interpreted as making the Birth of a King,
 since both that Planet and that Constellation are affiliated with 
Kingship, and in Hebrew terms The Lion is Judah.
*A breviarium of the empire was ordered by Augustus (Tacitus, Annals 1:11), giving a return of its population and resources.
*An inscription 
with such an oath of obedience has been found in Paphlagonia, and is 
clearly dated to 3BC [Lewis & Reinhold, Roman Civilization, vol. II,
 pps. 34 and 35, Harper Torchbooks Edition has these words, “taken by 
the inhabitants of Paphlagonia and the Roman businessmen dwelling among 
them”, and importantly, the whole of the population were required to 
swear it: “The same oath was sworn by all the people in the land at the 
altars of Augustus in the temples of Augustus in the various 
districts”].
*Augustus received his most prestigious title, the 
Pater Patriae,
 on February 5, 2BC, and wrote of it in his Res Gestae: “While I was 
administering my thirteenth consulship the senate and the equestrian 
order and the entire Roman people gave me the title Father of my 
Country” [VI, 35].
*Official censuses involving taxation took place every 20 years 
(in 28BC and 8BC), but the next official census was in 14AD, which was 
21 years after 8BC and not 20 as one would expect. Could it be that 2BC 
was dropped out of the yearly taxation in celebration of Augustus’ 
Silver Jubilee?
*The year 2BC, however, was reckoned so glorious a 
new beginning for Augustus and Rome that the imperial taxation and 
evaluation ceased during that year if people would give their oath of 
allegiance to Augustus as their Pater Patriae and universal lord. This 
could well be the case and explain the 1-year discrepancy (by the way, 
every five years there was a registration which updated individual Roman
 citizenship, and these archives were kept in their own native cities or
 other important “Roman centers” throughout the Empire [see 
Sherwin-White, Roman Society and Roman Law in the New Testament, pps. 
147ff]).
*  
Orosius, in the fifth century, also said that Roman records of his time 
revealed that a census was indeed held when Augustus was made "the first
 of men"--an apt description of his award "Father of the Country"--at a 
time when all the great nations gave an oath of obedience to Augustus 
(6:22, 7:2). Orosius 
dated the census to 3 BC. 
 *The Armenian historian, Moses of Khorene, said 
that the native sources he had available showed that in the second year 
of 
Abgar, king of Osroene (3BC), the census brought Roman agents “to 
Armenia, bringing the image of Augustus Caesar, which they set up in 
every temple” [History of the Armenians, trans. R.W. Thomson, Book II, 
26].