The first election to the new unitary
Carmarthenshire County Council took place in
1995. Bigyn Ward had three seats, all of which were won by the
Labour Party. Martin Morris, the sitting member for the ward on
Dyfed County Council, was elected alongside Sandra Cooke and David Prothero, a former county councillor. Three sitting members of
Llanelli Borough Council were unsuccessful. At the
1999, the boundaries remained unchanged but the number of seats were reduced from three to two. Martin Morros contested the Tyisha Ward, where he was successful, allowing his two colleagues to be returned for Bigyn. Labour again held both seats in
2004. In
2008, Labour fared badly in the Llanelli area as a whole and lost both seats in Bigyn to
Plaid Cymru. In
2012, Labour, having held all seats in Bigyn from 1995 until 2008, regained both on a low turnout. Eryl Morgan was previously county councillor for Hengoed. In May 2022, Independent Michael Cranham and Labour's Janet Williams came first and second. The third place vote was tied, on 596 votes, between the other two Labour candidates Philip Warlow and David Darkin. The winner was decided by the toss of a coin, with Warlow guessing correctly. ==Earlier History==