Re: Sleepy baby, not gaining weight.
I had the same problem with my daughter when she was younger but I do not know that is a particularly because she has Downs.
We found out that our problem was because of the nipples for her bottles we were using. It was hard for her to suck and too large for her mouth. It took a lot of her energy away. We ended up switching to a preemie nipple and poking extra holes in it for more flow.
Hope this helps and good luck!