I had a tough time getting Lexie to eat when I first brought her home, I used the baby food chicken/broth and that got her going. I think the kibble was a little big for her tiny mouth.
I am giving her wellness chicken right now and she is eating well. I have read of people wetting the food to make it soft for them to eat. Or mixing it with a little canned formula.
I hope she gets to feeling better and starts eating more for you. I also hope things are better for you and your children, it is so heart breaking to face their choices sometimes.