[BipolarBob]

That is not a time. That is the division of sons of Aaron.
When in David’s time the family of Aaron was multiplied, he divided them into twenty-four courses, for the more regular performances of their office, that it might never be either neglected for want of hands or engrossed by a few. The eighth of those was that of Abia (1 Chr. 24:10 ), who was descended from Eleazar, Aaron’s eldest son.
Jesus was born spring or summer when the shepherds were out tending flocks and/or sheep were birthing.

[Just mythoughts]

http://www.angelfire.com/nv/TheOliveBranch/append179d.html

“The announcement therefore to Zacharias in the Temple as to the conception of John the Baptist took place between 12-18 SIVAN (June 13-19), in the year 5 B.C. After finishing his “ministration”, the aged priest “departed to his house” (Luke 1:23) which was in a city (*2) in “the hill country” of Juda (verse 39).”