I feel like such an idiot right now. It would make sense that my hip would move more forward on the side the horse is leading on.. Thank you guys for the explanations. Maybe tomorrow lesson, I will be able to tell. My last lesson didn't go as well as I hoped, so I really want to be able to do something right. I don't want my instructor thinking that I'm wasting her time.
So for bareback riding, I'm just not going to worry about my leg position(unless my instructor mentions it). I guess it's just depends on the way you balance.
At tinyliny: It' funny, because I felt a lot more safe without a saddle. Though, I have a fear of my foot getting stuck in the stirrup so that might be why. My saddle has also slipped off before, so that kind of freaked me out. And I've gotten hurt by the saddle horn one too many times, plus getting hanged by my hoodie off of it. Haha The saddle tries to kill me.