Are they any sources for income or other suggestions to earn income while staying at home and caring for my mom?

What about taking care of another person? Like when stay at home moms take in more kids so they can make a little extra. You could check out adult day care programs in your area and get thae going rate. Even if you only wanted a day or two a week you might post in local churches and be able to offer respite to someone in your position. It would also give you mom some more socialized time.
Now if you aren't interested in more caregiving what about selling on ebay?
What did you do before? With todays technology you can do almost anything from home. I would check out some legit sites for working out of your home. If you are going to make thousands forget it. But there are reasonable businesses.
Good luck.