In re the time of year when the House Carpenter of Nazareth was born: The Gospel According to Luke states that "in the sixth month, an angel was sent to a maiden named Miriam" (I'm quoting from memory, so don't be too strict with me). The context makes clear that this means the sixth [lunar] month of her kinswoman Elizabeth's pregnancy, not the sixth month of the year. But if we skip that objection and interpret it as the sixth month of the year, we still don't get a single result. The "first month" can mean either the month of Nisan in the spring, or the month of Tishri in the fall. The sixth month, then, is either Adar or Elul, and the nine lunar months of pregnancy would put the House Carpenter's birth nine months after that, in either Kislev just before midwinter, or Sivan (I think that's what the month after Iyar is called) just before midsummer.