William Edwards was a Welsh Methodist minister who also practised as a stonemason, architect and bridge engineer.

Cenarth Bridge, also spelt Kenarth Bridge, is a three arch bridge which spans the River Teifi at Cenarth, Carmarthenshire in Wales. The bridge was built between 1785 and 1787 and designed by David Edwards, the son of William Edwards who built the Old Bridge at Pontypridd. The bridge straddles the border between Carmarthenshire and Ceredigion. It is both a Grade II* listed structure and a scheduled monument.