First off, take a deep breath and give yourself a break.
I have been here, where you are...in a tough spot and worried about everything. I am a single Mom, and I live with my parents.
Our kids, feel EVERYTHING we FEEL. If you are unsure that your move was the best, then your daughter will feel it too. Kids have this great way of taking on OUR stress and exhibiting it in ways like disruption of sleep. Was the move necessary? Not that it's a bad thing, but transition and change can be tough on little one's and this time is when they need reassurance that it's going to be okay.
It's more than likely you started feeling stressed out about the move, and she felt that then. I went through this when I had to go back to work, and my son stayed home with my Mom. I was SO stressed about leaving him that he started waking at night more and more. When I finally relaxed, and calmed down about the change he went back to sleeping for longer chunks of time.
It is okay to feed on demand, I did so with my son for the first year and then started tapper off as he began to move away from needing the night feedings. If she needs it, feed her, if not then don't.
My son also, is not a sound sleeper and will sometimes move and wake, but then put himself back to sleep without needing a bottle. But, there is a distinct difference between the need for food, and the waking. If she is crying then give her the comfort she needs.
I know being sleep deprived is the worst during the day when you have a job to do. What helps me is I talk to my son, I tell him that we are a team and Mommy needs his help getting through this tough time. We're in it together, and we have to help each other...it helps me get things off my chest and also comfort and reassure him too.
I hope you guys get through this rough patch, and don't worry this too shall pass.
Let me know if you ever need to talk...I know how hard it can be to be on your own and trying to do it ALL.
Best regards,
D..