He was educated locally and at St Patrick's College, Armagh, before going to Maynooth Seminary in 1901.
Ó Muireadhaigh wrote articles for the Louth Archaeological Journal and Irisleabhar Maighe Nuadhat.
In 1918 he was appointed curate in the parish of Clonfeacle, where he taught Gaelic and Irish dancing.
He was an active supporter of the Gaelic Athletic Association and served as a team coach.
His publications include Ceolta Omeith (1920; a collection of songs) and Pota Cnuasaigh (1924).