| Office: | Member of the European Parliament |
| Term Start: | January |
| Term End: | March 1973 |
| Constituency: | Oireachtas Delegation |
| Office1: | Senator |
| Term Start1: | November 1968 |
| Term End1: | June 1973 |
| Constituency1: | Nominated by the Taoiseach |
| Party: | Fianna Fáil |
| Birth Date: | 5 January 1932 |
| Birth Place: | County Leitrim, Ireland |
| Death Place: | County Leitrim, Ireland |
| Nationality: | Irish |
| Spouse: | Mary Duignan |
| Children: | 6 |
Farrell McElgunn (5 January 1932 – 2 March 2020) was an Irish Fianna Fáil politician and teacher.
He completed a Bachelor of Arts in University College Galway in Irish and History, and later completed a masters of Irish in St Patrick's College, Maynooth. He was also a local historian.[1] He taught in the Rosary High School, Presentation Brothers and Marymount College in Carrick-on-Shannon where he was vice-principal.
He was nominated by the Taoiseach to the 11th Seanad on 21 November 1968.[2] He stood as a Fianna Fáil candidate at the 1969 general election for the Roscommon–Leitrim constituency but was unsuccessful. He was re-nominated by the Taoiseach to the 12th Seanad following the 1969 election. He served as a member of the first Irish delegation as a Member of the European Parliament from January to March 1973. He stood again at the 1973 general election for Roscommon–Leitrim but was again unsuccessful.[3]
McElgunn died on 2 March 2020, aged 88.[4]