Sounds like you've got everything necessary to make things happen. Acting differently in not rejecting those attempts may be what gets the ball rolling... you say yourself those intentions are good. As long as hers are good and yours are just the same, you both may very well be capable of getting on the same level in a way that allows you two to connect.
Funny, your description of your mother sounds like a roomate I currently have... and if they are anything alike, I understand how utterly frustrating and annoying it can be at times. Deep breaths and patience...
It's very honorable to do what you're doing, so try not to let the setbacks get to you! I hope everything eventually works out for you and it's all worth more than you ever thought possible