In Julius Caesar a clock strikes three, and while they had hours (a fraction of the daytime, not a standard unit) they didn't have mechanical clocks.
But then while we know what happened to Julius Caesar based on historical accounts, even chronicles were politicized, which is why we don't know of Julia the Elder boffed half of Rome or was just the victim of slander. (Dramatists prefer she did while academics assume she was virtuous). So we know some of the details of the mass assassination of Julius Caesar but we only know some of the general details, which allows a lot of latitude in period recreations.
Jesus existed according to academics (based on third party accounts) but he might have just been an anti-establishment activist or a failed apocalyptic prophet. Not only did Jerusalem have those by the dozen but so did most satellites from which Rome demanded tribute. The miracles and matching Jesus up to fit the prophesies came later. Also Pontius Pilate loved crucifixion and had execution teams on standby where it was considered elsewhere in Rome a dire sentence for the worst of offenders. Pilate was the Roman equivalent of a hanging judge, so it was super-easy for a malcontent in Jerusalem to end up on the cross.
It's all a part of Azathoth's dream anyway, long may they slumber.
Those kids were just figments, but then so are we.