I cannot comment of the comparison between bottle feeding kids and goats. However, I have just had five bottle lambs in the last two months. I got them as newborns. They were either twins, triplets, or quads. I had access to free cows milk so that is what I fed them. I started them out at 1/4 cup milk at each feeding which was ever two hours during the day. For me this started at 4 a.m. until close to 9 p.m. I felt it was much better to feed them small amounts more often. I gradually started to increase the amount and then began to lengthen the time between feedings. When they are eating grass or hay and looking full, I cut them back to a morning, mid-day and night feeding. The oldest one is weaned, the two middle ones are at three feedings of 1/3 cup a day and the youngest two are getting fed every three to four hours. Hope this is helpful. How old is your lamb?