Oh boy. I'm sorry to hear about that. I hope that they find it.
At the barns I've boarded at, the tack room has always been kept under lock and key, and while the tack room has a lock at my current barn, I just take my saddles home with me.
It was locked in a tack room. They kicked in the locked door.
The barn where the saddle was stolen from is in Dunkirk.