You would be surprised how easy it is to catch them, I've caught loads in my time, even wild ones.
There is a technique, which is not that hard to do, do you want me too share it?
I used to race pigeons when I was young...........................waits for stupid comments..........................
Anyway, it should be easy to catch if it is tame, then spread the wing and you may find the name of the owner and a phone number stamped on the wing feathers.
Owner used to do...