Burke was born at Ballydugan, near
Loughrea,
County Galway, the third son of William Malachy Burke (1784–1853), a Barrister-at-law, High Sheriff of Co. Galway 1822, and Anna Maria, only daughter of John Blake of Windfield. Both the Blakes and the Burkes were old Galway families, the Burkes descending from
Richard Mór de Burgh, 1st Baron of Connaught (died 1242) and the Blakes being one of the
Tribes of Galway. After receiving his medical education at
St George's Hospital, London, in 1842, Burke passed
MRCS at the
London College of Surgeons. He became a
Licenciate (LKQCP) in Ireland in June 1847, and on 19 October 1863, a Fellow of the
King's and Queen's College of Physicians in Ireland. He served as a physician at
Steevens' Hospital,
Dublin, and he was also Physician in Ordinary to the
Lord Lieutenant of Ireland, for the years 1866–68 and 1874–76. Burke was a member of the Pathology Society and the Geological Society, Dublin; of the
British Medical Association; a Fellow of the
British Meteorological Society; and was a Visiting Physician to Steevens' Hospital, Dublin. He also served as a Consultant Physician at the National Eye and Ear Infirmary, St Stephen's Green. After serving as Medical Superintendent in the General Register Office from 1864 to 1876, he succeeded Mr Donnelly as Registrar General for Ireland, serving from 1876 to 1879, during which period he effected important improvements in the system of registration in Ireland. He married in 1852 Harriet Isabella, only surviving daughter of the Rev. Hugh Hamilton, of Churchhill, Benmore,
County Fermanagh. They had three children; William Henry Marsh, Capt. (b. 9 April 1859, d. 1892), John Albert (b. 1862), Edmund (b. 1865). He died on 13 August 1879 from
pleuro-pneumonia, at his residence at 88 St Stephen's Green. He was interred in
Mount Jerome Cemetery. Burke was considered to be "a very amiable man and was much liked in the large social circle in which he moved". ==References==