A military ATC unit will often have a number of different control positions, each with a different set of responsibilities, each on a different frequency and each with a different callsign. The controller with responsibility for dealing with civil traffic, will often be the ZONE controller whilst a glance at AIP ENR 2.2 reveals that, at different airfields, you may find yourself dealing with RADAR, DIRECTOR, APPROACH, TOWER or even, in the case of RNAY Fleetlands, INFORMATION. It all depends upon the specific ATC arrangements at the unit involved.
It's really no different to transiting a civil airfield. Depending on the size and complexity, you may talk to TOWER, APPROACH, RADAR, INFORMATION or RADIO. I daresay a fully licensed RADAR controller might get a little miffed if you referred to him as INFORMATION (No disrespect to AFISOs). Your 'forceful' Shawbury ZONE controller was probably just hacked off because the RADAR controller had just nicked the last Jammy Dodger.
In any event, the information on who you should be talking to is in the IAIP.