Abraham Roberts is a member of a famous Waterford city family. He is the son of Anne Sandys and The Reverend John Roberts, a magistrate in County Waterford and a rector of Passage East. He marries Frances Isabella Ricketts, daughter of George Poyntz Ricketts, on July 20, 1820. On the death of his first wife he marries Isabella Bunbury, daughter of Abraham Bunbury, on August 2, 1830.
Roberts gains the rank of colonel in the service of the Honourable East India Company and is the commander of the 1st Bengal European Regiment and the Lahore Division. He also fights in the First Anglo-Afghan War.
Roberts is invested as a Knight Grand Cross of the Order of the Bath (GCB). He leaves India in 1853 to live in Ireland with his second wife, who outlives him. He also has a house at 25 Royal York Crescent, Bristol, Somerset, England.
From 1862 until his death on December 28, 1873 Roberts is Colonel of the 101st Regiment of Foot (Royal Bengal Fusiliers).
Roberts had two sons, Major General George Ricketts Roberts by Frances Isabella and Field Marshal Frederick Sleigh Roberts, 1st Earl Roberts (1832-1914) by Isabella Bunbury, who both obtain the highest ranks in the British Army. Frederick and a grandson, Frederick Hugh Sherston Roberts (1872-1899), receive the Victoria Cross, the highest decoration for bravery in the face of the enemy in the British Army.