Mrs. Kenny, who died at the age of 93, was buried in Islandeady Cemetery after mass at the Church of The Holy Rosary in Castlebar.
She is survived by sons Enda, John, Henry and Kieran and by daughter Marie.
At her mass, parish priest Fr. Pat Donnellan said she was “proud as punch” of her son, Enda.
“When each election came around I heard her say she ’threw the tongs out the door after them for good luck’, and I know it was then that she stormed the heavens and prayed that all would be well,” he said in his homily.
“Her modest nature did not allow her to boast, but I know she was as proud as punch that God blessed her with a son, who is Taoiseach of our country.
“Like all good mothers, Eithne Kenny loved all her children equally, and her grandchildren and extended family.
“She stood for good old-fashioned family values, like faith, loyalty, love. And that sense of loss that is in the tears of her children and grandchildren, is testimony to the love and care that she blessed you with.”
The President, Michael D. Higgins, led the procession of mourners at the removal. Several TDs and political figures, including Michéal Martin, former president Mary McAleese and former Taoiseach Berite Ahern, attended the funeral in support.
“We have had an enormous privilege with the longevity of her life but I suppose few have had the privilege themselves, and what privilege it is, of serving in the political field from 1954 until last week,” an Taoiseach Enda Kenny told the gathered mourners at the funeral.
A planned visit from British Deputy Prime Minister Nick Clegg was also postponed yesterday as a mark of respect.