Zachariah and his wife had longed for God to give them a biological child (Luke 1: 13). News from the angel that God has granted them should have made Zachariah happy.
The news would eliminate disgrace his wife in the middle of Israeli society, which looked down on barren women (Luke 1: 25). As his response, Zachariah went home soon after completion of his task.
And it came to pass, that, as soon as the days of his service were accomplished, he departed to his own house. (Luke 1: 23)
Zachariah did not wait for dawn. He traveled Jerusalem–Hebron night dangerous trip in 6 BC century for the sake of immediate reach home and broke the news to his wife.

Zachariah task completed at the end of 15th of Tishri at about 5:33 pm. After preparing for his night travel, e.g. setting up a lamp, he departed Jerusalem to his home in Hebron.
Travel time from Jerusalem to Hebron is approximately 11 hours 35 minutes on foot. Because Zachariah did not come from the rich, nobles, high priest, or the army classes, he walked on foot.
Assuming his smooth travel and no rest, Zachariah got home in 16th of Tishri 3756 5:08 a.m.
Considering his advanced age, exhaustion due to having been on duty for 24 hours in the temple, and his time travel of approximately 11 hours 35 minutes on foot, Zacharias took a rest throughout the rest of the day after telling God message to her.
In conclusion, Elizabeth got pregnant on 17th day of Tishri 3756 Hebrew Calendar.
Hebrew Calendar | Julian Calendar | Gregorian Calendar |
17th of Tishri 3756 | 28thSeptember 6 BC | 26th September 6 BC |
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