Try posting your inquiry to Targettalk.org a/o the yahoo Free Pistol group.
You're right, that is a FP but I don't recognize the make and model. The barrel, trigger guard and blade, and grip frame suggest, to me, that it's an early modern design. The contouring of the guard and blade look German (e.g. Hammerli or Anschutz).
Here's a depiction of the history of FP's w/ designs that are indicative of their evolution.
http://www.geocities.com/pistoleer2001/Evolution.html
But I'm not an expert on Free Pistols, and there were a lot of small builders over the years, so it probably best to get a more informed opinion.