Aw, so cute! I don't know about goats, but winter birth isn't so weird for sheep, at least - Imbolc, which is February 1, is otherwise known as "the lactation of the ewes," and is dedicated to the goddess Brighid and full of milk and birth symbology. Not only were the animals birthing, but there were lots of Celtic human babies born then in antiquity (it falls nine months after a fertility holiday on 1 May). You're just a month early. 😉