I would have to say no. The only things about my mother influenced my crossdressing was that she was beautiful, had some very pretty dresses, and was a very feminine woman.
The only people/things I can think of that directly influenced my desire to crossdress were my Grandmother and my own life experiences. My mother and my sister both had pretty bad choice in men, and so I grew up with a very poor opinion of men. MY Grandmother reinforced this very poor opinion at every chance by making it well known to all of us that men were garbage, and no G.D. good! So, I more or less grew up seeing that men sucked, and my Grandmother verbally reinforced this daily. Hardly surprising I wanted to be a girl. :-)