On 19 June 1722, he married Deborah Staunton (c. 1695–1737), a daughter of Thomas Staunton. They lived in Clogrennane, County Carlow, and Newpark, County Dublin,[4] and, together, were the parents of:
- Robert Rochfort (d. 1755), who graduated from Trinity College, Dublin, in 1744; he died unmarried.[5]
- John Rochfort (1735–1812), who married Dorothea Burgh, daughter of Thomas Burgh, MP for Lanesborough and Anne Downes; her brother was Thomas Burgh.[6]
- Deborah Rochfort (b. c. 1733), who married George Bishop of Bishop's Hall, County Kilkenny, in 1754.[5] After his death, she married her cousin, Capt. Philip Rochfort, son of Arthur Rochfort, MP for Westmeath, in 1770.[5]
- Mary Rochfort (d. 1791), who married Thomas Maunsell of Plassey, MP for Kilmallock,[a]
After his first wife's death in 1737, he married Emilia (née Eyre) Wilson (c. 1709–c. 1770), a daughter of John Eyre, MP for Galway Borough, of Galway and widow of Rev. William Wilson of Shingles, County Westmeath, on 24 May 1746.[5]
Rochfort died on 30 January 1771 and was succeeded in his estates by his only surviving son John.[5] John added to the estate by leasing estates at Clonskee in County Galway and purchasing additional lands of Adamstown and Milltown, Dublin.[3]
Through his son John, he was grandfather to Anne Rochfort (c. 1762–1862), who married Sir Matthew Blakiston, 2nd Baronet (heir of Sir Matthew Blakiston, 1st Baronet);[6] and John Staunton Rochfort (1763–1844), who married Harriette Mann, a daughter of Sir Horatio Mann, 2nd Baronet and Lady Lucy Noel (a daughter of the 4th Earl of Gainsborough)[10] and Mary Burgh, a daughter of Thomas Burgh, MP;[11] and the Rev. Robert Rochfort (1775–1811), the notorious "Slashing Parson" of 1798.[3][12]