It seems to look like they took care of it. The leather looks decent, and the fleece isn't too bad. Typically, older Circle Y's are one of those "quality-made" type of saddles. They just don't make them anymore like that!
How old are your kids? How big are they? Are you sure a 14" is going to fit them correctly?
I wouldn't rely on a barrel saddle making them more secure. They should learn to ride based on balance. The type of saddle shouldn't matter. Yes, barrel saddles are deeper in order to aid the rider to stay with a horse who is powering out of a barrel turn.
When I have kids someday, they are going to learn to ride bareback BEFORE I buy them a saddle. That's what my mother did for me. (My mom didn't even have a saddle until she was 14 and got her older sister's hand-me-down) And that's how you develop balance. Just a thought.
∞•*˚ Βгįťţαňγ ˚*•∞
It is not enough to know how to ride; one must know how to fall.