The short answer
Putting back a matching covering rarely needs a planning application, conservation area or not. Changes to the look, and anything affecting a listed building such as the older stone properties around the Market Place, should be checked with Vale of White Horse District Council first. Building control for larger re-roofs goes to the Southvale service or a registered approver.
Faringdon is in a conservation area, on the district council's designated list, and the Market Place, the church and many stone houses are part of the historic core. The designation protects the character of the area, and it raises a few questions before a re-roof. Here is how they usually play out for homeowners, set out in the order they tend to come up.
Q3.1Does a matching re-roof need planning permission?
Relaying a covering that matches leaves the look of the building as it was, so an application to the planning team is not normally part of the job. The council's Article 4 page shows only one direction in force, in Abingdon, so nothing in Faringdon withdraws that position, though a quick call to the planning team about your own address costs nothing.
Q3.2Does a listing change the job?
A listed building needs consent before work that touches its special architectural or historic interest, and a new covering on the roof can do exactly that. Stone buildings with older roofs get the most careful treatment: we recommend repair before replacement and match what is there.
Q3.3When does building control get involved?
For larger re-roofs, the 25 per cent building envelope and 50 per cent roof tests in the Planning Portal guidance decide whether building control has to be told, and so does a new covering weighing 15 per cent or more above the old one. In the Vale of White Horse, building control is a shared service, Southvale Building Control, which also covers South Oxfordshire. A registered building control approver is the private route. Which one applies depends on you, and once you choose, the notification is our job.
Weight matters too, since stone and slate are heavy. Swapping a lighter covering for a heavier one means the structure is checked first, and our roof repairs and pitched roofing pages show how a repair, a partial re-cover and a full re-roof differ on a house like yours.