We used to call them "dumbbloods" he he. I have nothing against them though, they are beautiful, athletic and usually have a more calm temperament than TB's. Big 'ol head on her and could do with some more topline but overall she looks like a nice mare and it is a reasonable price I think, could be worth the drive to have a look?
I would find out if she is currently in work or not as the ad mentioned they aren't working her much anymore. Also why the broodmare suggestion? I always worry when someone suggests the broodmare option when they are selling a riding horse!
All horses deserve, at least once in their lives, to be loved by a little girl.