I did not study in advance to notice it was using JW Player for flv and mov. On wmv it used Silverlight. The Silverlight player has very simple controls, and this is ideal for my situation.
We have a dozen sites up. We need videos on two of them. One will pull vids from a youtube channel, the other will pull vids from our own hosting service.
The site with 1.5.x will be converted to 1.7.x or 1.8 someday, so a solution that works now, and will also work later, is what I was looking for. This plugin seems ideal for that.