The texture stretching at the base happens because that is not the default position of the model. It was modeled and mapped in an 'upright' position, so the down position causes the stretching. 

The only way I know of to fix it is to repaint the texture in a 3D painting app like blender or zbrush where you can paint directly on the model in its current position. Painting the maps in 2D will always result in stretching in that area because the geometry is being stretched. 

You could also get more complicated and create a series of animated textures, where the maps change based on the 'up' or 'down' state of the gens.