In 1918, after extensive changes to the Glamorgan Parliamentary boundaries, J. Hugh Edwards was returned for Neath with a majority of more than 8,000 votes over the Labour candidate.
In 1924 he was one of a small number of Liberals, including Winston Churchill and Hamar Greenwood, to contest the General Election as Constitutionalist candidates.
After the elections when it appeared that there was no prospect of formal closer ties between the two parties, Edwards re-took the Liberal whip.
At the 1929 general election, Edwards stood as the Liberal candidate and was again not opposed by the local Conservatives; however he was narrowly defeated by Labour.
After leaving Parliament Edwards married Doris, daughter of Sir Samuel Faire, a Leicester industrialist and local politician at a ceremony attended by David Lloyd George.