I was once told by a stitcher that we all have a "smart" hand and a "dumb" hand. I'm assuming that since I'm right handed, that is my "smart" hand. Anyhow, this person told me that the easiest way to stitch from both sides of the cloth was to put my "dumb" hand on the top, where my eyes would be able to guide it better. My "smart" (right) hand would work better all on it's own on the bottom.
I think this was in regard to cross stitching, but maybe it would work with stab-stitch quilting also. What do you experienced gals think?