Hopefully this will get more useful soon.

• Cadworth, 13 places
• Calbourne, 1 place
• Calcewath, 39 places
• Calehill, 9 places
• Calne, 6 places
• Cambridge, 1 place
• Came, 37 places
• Candleshoe, 25 places
• Cannington, 38 places
• Canterbury, 4 places
• Carhampton, 45 places
• Carlford, 36 places
• Castle, 1 place
• Castlery, 2 places
• Cave, 19 places
• Cawdon, 6 places
• Celfledetorn, 18 places
• Cerne, Totcombe and Modbury, 5 places
• Chafford, 12 places
• Chalton, 3 places
• Charborough, 5 places
• Charldon, 9 places
• Chart, 2 places
• Chatham, 2 places
• Chelmsford, 37 places
• Cheltenham, 5 places
• Chester, 6 places
• Chesterton, 6 places
• Cheveley, 6 places
• Chew, 6 places
• Chewton, 14 places
• Chilford, 12 places
• Chillington, 30 places
• Chippenham, 26 places
• Chislet, 1 place
• Chuteley, 7 places
• Cicementone, 12 places
• Cirencester, 23 places
• Clackclose, 35 places
• Clavering, 27 places
• Claydon, 21 places
• Clent, 28 places
• Cleyley, 17 places
• Clifton, 10 places
• Cliston, 14 places
• Codsheath, 2 places
• Cogdean, 5 places
• Colchester, 2 places
• Coleshill, 51 places
• Collingtree, 7 places
• Colnes, 32 places
• Colyton, 22 places
• Combsditch, 5 places
• Conditre, 23 places
• Condover, 47 places
• Connerton, 13 places
• Copthorne, 14 places
• Corby, 17 places
• Cornilo, 4 places
• Corringham, 23 places
• Cosford, 25 places
• Cottesloe, 16 places
• Cranborne, 18 places
• Craven, 125 places
• Crediton, 4 places
• Cresslow, 24 places
• Crewkerne, 6 places
• Cricklade, 10 places
• Crickland, 0 places
• Crondall, 6 places
• Cullifordtree, 20 places
• Culvestan, 28 places
• Cutestornes, 18 places
• Cutsthorn, 0 places
• Cuttlestone, 71 places