Musings of Chancel

On the Brockley forum, JCambridge has raised an issue which we'd never heard about before and deserves wider attention:

We are currently buying a property in Brockley and have been informed by our Solicitor it is in an area that potentially be subject to Chancel Repair Liability. This is where a local church can force you to pay for repairs, however you have to pay full a full search to find out what church it relates to and whether you are indeed liable. 

Has anyone paid for a search and what was the findings? It usually relates to Medieval Churches and having researched I suspect it could relate to the Premonstratensian Abbey in Brockley that was once on the site of the current St Peters church.