If your Mom has any special needs, it would be a good idea to let
DCL know so they can be aware of it and make preparations, if necessary. They have a Medical Needs form that your TA or DCL can fax to you to be filled out and it can be faxed back to them.
It's probably much better if you bring your own wheelchair, they don't have rentals like they do in the theme parks and I don't believe they have many onboard, except for new emergencies.
In the shows, the very last row in the theatres has some areas set aside for wheelchair access, available from either entrance.
I have seen others in a wheelchair in the dining rooms and the servers can remove a chair from the table so that the person can have enough room to sit close to the table.
The aisles are large enough to maneuver a wheel chair around, unless there are several people walking side by side in front of you. I'd suggest leaving early for any event you plan to attend so that you have time to get an elevator, especially during crowded times.
I would also suggest that you prepare for the safety drill ahead of time and to be familiar with the route to your assembly station before the drill starts. You might even want to leave 3 or 4 minutes before it is actually announced. If your Mom can't walk on the stairs using her cane, you should make sure you know what the standard procedure to help her, before it's required. The assembly station for your cabin is detailed on a card posted on your stateroom door and I know most, if not all of them, are on deck 4, so she'd have to go up the stairs if you're on deck 1 or 2 and down the stairs if you're on decks 5 thru 8.
With a little extra time allowed for getting to and from places on the ship, she should be just fine.
hope that helps