but if she does you can also use tools/devices at home to help before she gets to a door. These devices work only if someone is home with her and will respond to them.
For example, I use a chair alarm where my mom sits. I have gotten her use to sitting in the same chair in our living room to watch TV. This chair alarm alerts me she is trying to be on the move. I don't give my mom much of a chance to get anywhere alone. She's prone to falling; so, I feel these alarms help me in many ways. She needs bathroom assistance and such; so, this chair alarm going off gets me to her fast. Also, I'll use baby monitors around the house. My mom is not quiet when moving around. I have taken her to the rooms I need to be in at times if I feel she is restless; so, I can see her at all times, too. You have to get somewhat in tune with their actions.
Some simpler tools if you are home with her is using motion sensors. Placed correctly, you will know your mom is on the move. These devices are ear piercing. I'll use these if my mom goes in for a nap. I have a cousin who intalled a video system to watch her mom in multiple rooms. This aunt is more productive and more on the move; so, the video has helped them.
All sensors are only as good as you responding to the noise going off or seeing someone on the move via video. My mom has learned to aggravate us by lifting her butt up to set off the chair alarm on purpose. One good thing is she will sit down pretty quickly and then the alarm will shut off automatically. She really doesn't want to move too much; she doesn't want to get up too much; so, I'm lucky in that respect.
Also, I'm lucky because I don't think my mom can figure out how to open a locked door anymore. I think multiple locks on outside doors can be a good thing especially a lock your mom is not familiar with.
If you can't use these simpler tools for whatever reasons you may have to use the more drastic measures like a GPS device at whatever the costs if you want her in a home environment.
There is quite a time commitment but many times if you can make someone more productive (help with easier tasks at home) then they don't feel the urge to go off. Also, activities can help like word puzzles and such if they are capable in that way. I just got the new Ipad and I'm going to try and play some simple kid games like flash cards with my mom. We exercise my mom ever morning and we walk laps around the house to keep her mobile. This will tire my mom out; so, she is content to sit.
I'm lucky; because, hubby and I are retired. One of us can sit with her (usually my hubby) for a large part of the day. He likes to read; so, it works for us and he can keep an eye on her if I need to step out to shop or whatever.
I would not at this stage leave your mom alone.