In his election address in 1872, he said, Under the name of Home Rule, I will at once declare my conviction that Ireland possesses the indefeasible right to be governed by an Irish Parliament.
That right has never been forfeited or surrendered, and I hold that the restoration of Home Rule is absolutely essential to the good government of the country, to the development of its resources, to the removal of the wasting curse of absenteeism and to the final establishment in peace and liberty of the Irish race upon Irish soil, I am convinced that ample means exist to achieve this result within the limits of the Constitution, and without infringing upon our loyalty to the throne, I differ entirely from those who would say that union amongst Irishmen is impossible, and that they do not possess sufficient public virtue to enable them to manage their own affairs Redmond was also a temperance reformer.
He seconded the resolution in favour of the re-enactment and extension of the Sunday Closing Act in Ireland, and was a constant attendant at the meetings in London of the " League of the Cross," a total abstinence organization founded by Cardinal Henry Edward Manning.
He was the grandfather of the identically named William Archer Redmond who was both an MP and a TD during his political career.
Terence Denman: A Lonely Grave - the life and death of William Redmond Irish Academic Press 1995