Brass pocket watch found on Broad Street

I found a brass pocket watch this afternoon around 2:15 pm on Broad Street near the Covered Market in Oxford. It's a small brass case, about 2 inches across, with a glass face and a worn black leather fob. The back is engraved with the initials 'P.K.' and the glass has a tiny crack; the ticking is still steady when I move it. I know it probably meant a lot to someone, so I’d really like to help get it back to its owner.