Problems with balance for mom

My mom has alzheimers and has been on a steady decline.... She still gets around though and i take her out and take her shopping etc.
Lately (last few days) she does this weird thing where her body tilts backwards when she walks and i'm worried she'll fall. Its like when you have a child by the hand and are trying to drag them along and their body goes backwards to resist.... thats how she walks sometimes. She has fallen a couple times in the past (one time she missed the chair and she fell a couple days ago but not sure how).
So i've been trying to follow her around the house and my dad has been trying to keep an eye on her too but i'm so worried she'll fall in an instant when no one is watching her. I don't have help yet (thats another issue on which i want to ask for advice...... how to get a home health careworker and what the costs are as i can't afford too much :()
If anyone has any thoughts on how to help with her balance..... i'd appreciate it
Thanks in advance to all.

Aricept. She also takes Lipitor for cholestrol and quinapril for blood pressure. I've been giving her some melatonin to help her sleep at night and shes been on that for several months now and she does well on it.
She tends to get shaky etc after a fall i've noticed..... not just for a little bit but it can last for a few days. I wonder if this has something to do with her falling..... I don't know. She's going to go see her doc again as i'm trying to schedule an appt now. I just don't know how much they can do with the balace issue. I wish she would carry her cane or maybe a walker. I'm looking right now to see if they make "children's walkers" lol..... just something smaller cause my mom is tiny. Even if i find her a walker though she will forget to use it some of the time.