Q.ID Begonia Type
I do not know the type of begonia my mom is growing. I am unable to find pictures of begonias with the same type of leaves.

I believe your mothers plant is actually a Geranium.
I would not be able to identify the variety. When it blooms you can have a better chance of making an identification.
Here are some articles that will help you with care information.
https://www.gardeningknowhow.com/ornamental/flowers/geranium/geranium-care.htm
https://www.gardeningknowhow.com/ornamental/flowers/geranium/pruning-geraniums.htm