The Wiltshire County Chess Association (WCCA) oversees the major clubs within the Wiltshire county (Chippenham, Devizes, Swindon, Trowbridge etc.) and supervises the Wiltshire League inter-club competion among other things:
Wiltshire County Chess Association (WCCA)
(note that while Salisbury falls within Wiltshire, the Salisbury Chess Club doesn't normally take part in the WCCA's Wiltshire League due to the larger travel distances involved)
You can find the latest WCCA Wiltshire League Results here:
NORTH vs SOUTH (2nd tab)
For the Wiltshire League tournament, the WCCA expand the FIDE rules as shown here: