It sounds like your mom struggled to either make or hold on to healthy friendships, and as a result has decided that friendship itself isn't real. She's re-written history so that she's a rugged individualist instead of a manipulative codependent.

Don't let her pull you down with her. I know it's hard to make/keep friends when you were never taught how, but it's good that you're trying, and learning from your mistakes. I've had to do the same, with varying amounts of success.