of course she likes him , hes a baby , and as far as she is concerned he "could" be hers, since she is so close, and he is so little
what happened with the mare was an EXCEEEDINGLY rare thing , trust me , i have been telling pet parents and soon to birth mommies that eventually , they WILL deliver, even myself , i know sometime around the end of july

Sigh....
the only 2 animals that can absorb a developing fetus, are pigs and rabbits, rabbit can absorb anywhere within th first 3 weeks, of preg(they only gestate a month)
and pigs can for the first month as well,
but this is rare and generally happens in severe stress or poor nutrition ,
your doe isnt in either state, shes close to popping, i am sure if you had a stethescope , and knew what to listen for you could hear the little taters in her tummy
(kind of hard with the rumen noises but possible)
she will deliver, and might adopt the little guy if you dont think its wierd for him to nurse off his future "goaty wife" , try putting him in with her after the babies she has are 3 days old ( they need the colostrum) if nothing else it might save you some bottle feeding time
dont worrry when he is ready to breed and she comes into heat, she wont care that he used to be "her baby"
since if youre timing your breedings he will be seperated from her before then anyhow