I would like to know if there is any information available on how to select the right running shoe for running depending on the runner's gait, whether she supenates or pronates, etc..
The best thing to do for a runner who is selecting a running shoe is to send them to a podiatrist or a running specialist, such that is found at higher end running only shoe stores. Visiting a podiatrist is well worth the investment since many athletes require some type of additional support such as orthotics in addition to a good pair of running shoes.
Running shoes will come in three types depending on the level of pronation or supination of the foot: cushioning, motion control or stability.
Runners world online has a few good articles regarding a do it yourself analysis, but I would first recommend visiting a podiatrist or a specialty running shoe store.