The 2nd Hants RV were a precursor to the modern Territirial army (ok Army reserves for the purists out there). As Bournemouth was in Hampshire until 40 years ago, the town recruiting for the Hants RV rather than the Dorset RV.
http://1rhamps.com/militia_ta/Volunteer.html
This site shows the history. It was the 4th Bn who were Bournemouth based.