My mother needs to leave her rest home but the home is giving her a hard time?

Back in February we moved my mother from a rehab facility to a rest home. We both looked at the facility and thought it would be fine for the time being. Back in February she was much stronger having finished PT and OT at the rehab. Since then, she's fallen multiple times (she has Parkinson's). There isn't much room to move around in the room she's in. When she first moved in we were told by the owner that she would be moved to a two bed room but that never happened..and others have moved in since then, too. This rest home does not have any ramps or a smooth driveway. It's a much older home..100+ years old I think. Renovated to suit at a rest home. My mother's last fall was back on July 29th..she fell backwards after getting up from her chair in the dining room, hitting her back on a buffet cabinet behind her and landing on her already sore arm (sore after many, many falls and trying to break her fall with it just about ever time). So, now because she's not eligible to be in a nursing home, we'd like to move her to another rest home. This one has larger rooms with only two beds to a room, many bathrooms (the one she's in only has two bathrooms for the floor) she doesn't have her own phone (we had to get her a cell phone which is very difficult for her to figure out ..the only phone is a 'residents phone' in the dining room). We submitted her application for the other rest home the other day. When I brought her back to her current home and after I left, the administrator and the owner cornered her and after peppering her with lots of questions and trying real hard to discourage her from leaving, they tell her that she signed a paper saying she needs to give them a 30 day notice. The other rest home cannot hold a bed for 30+ days for my mom, even if she gave them a deposit. Can we just take my mother out of there and say 'screw you' to them? Do they have any legal leg to stand on, knowing full well that she doesn't have any assets to sue her for? She's real upset over this. I'm saying..we'll just leave and what are they going to do? Sue? lol for what? She doesn't have any money. What money she gets goes to the rest home minus a very small stipend left over ($73/mo to be exact)