For three days (and as we hosted a group of twenty for a weekend-long party at the Hollow), we attempted bottles, we held them to the udder and milked the mother directly into their mouths, we milked off the engorged mother and spilled most of the contents, when we weren't being shat on. And so it went, until slowly, the combination of getting up and putting oneself on a teat and sucking and detaching and eventually frolicking just clicked in them.
And now, at 8-days old, we have prancing, playful, goofy, clumsy baby goats. Goat farming achievement unlocked.
(Bonus: the mama has great tits.)