If I had to guess, I'd say that the one on the left (open coil) is a typical, off-brand 2m/70cm ham antenna - they seem to be pretty common.
The one on the right (encapsulated coil) looks just like one I have around here somewhere, with the coil unusually low. I never confirmed what mine actually was, but always suspected that it was for 220MHz.
If you know anyone with an antenna analyzer, you could know for sure.