Tim,
You might be getting two things mixed up.

1. Performance rights
i.e. concerts, Radio plays, etc

2. Recording rights.
CD's and similar.

Here in the UK, PRS (Performing Rights Society) deals with PERFORMANCE, and MCPS (Mechanical Copyright Protection Society) deals with RECORDINGS.

In both cases, they collect the fees and dish them out to their members (ONLY).

MCPS usually quotes a rate per CD to the originator, in return for which you can put the MCPS logo on your CD or insert. (The letters MCPS in a rectangular box)