Bobby Brown -- Baby On the Way as Fears Grow About Losing Bobbi Kristina

Bobby Brown is in emotional turmoil ... as he deals with the prospect of losing a daughter, he celebrates something that he's telling his grieving family ... his wife is pregnant.

We've learned Bobby's wife, Alicia Etheredge, is 4 months pregnant ... something he hasn't shared with many of his relatives. The timing is awful, but it can't be hidden as they sit in hospital waiting rooms.

We're told Bobby and Alicia have shared the happy news as they sit vigil for Bobbi Kristina, whose brain function has perilously diminished.

There's lots of stress ... as we reported there's a feud brewing between Bobby's family and Whitney's. But we're told so far Alicia is handling it well.

Tough situation ...