Sorry to hear that you're in such a difficult situation. I had a similar situation many years ago when I had a baby and I became very ill through lack of sleep and stress.
With hindsight, I think it would have really helped if my partner and I could have had some time out together each week, or even every other week, and arranged for our baby to be cared for by someone we could trust.
On top of that, I think that stress can really deplete vitamin/mineral levels - so I wish I'd taken a good natural multivitamin/mineral supplement plus extra doses of vitamin C. I have had severe depression and I noticed a marked difference in how motivated I felt after taking a high dose of vitamin C for only a couple of days.
There is a website which I've found helpful and interesting by a health educator named Andrew Saul - he has an article on acid reflux, and he's also co-published a book on infant and toddler health.
The site is
DoctorYourself.com: Andrew Saul's Natural Health Website and the book is The Vitamin Cure for Infant and Toddler Health Problems, by Ralph Campbell, MD, and Andrew W. Saul.
Regarding a pharmaceutical approach, I also had a friend who had a new baby in the family who benefited from taking Gaviscon (not sure if its called that in the US?).