He was educated at Christ Church, Oxford, receiving a BA in 1658.
He married Jane Coote, daughter of Sir Robert Hannay c. 1662. She was the Dowager Countess of Mountrath  as the widow of Charles Coote, 1st Earl of Mountrath. They had one child, Elizabeth, who married James Hamilton, 6th Earl of Abercorn.
On his death he was buried in Newark, Nottinghamshire.
The lighthouses built by Robert Reading were at Howth Head, the Howth bar, the Old Head of Kinsale, Charles Fort (formerly Barry Oge's castle), Hook Head and the Isle of Magee near Carlingford, County Louth. The Howth bar and Isle of Magee lights did not last long, though the latter was reestablished on the Lesser Copeland Island. These lighthouses all had coal fires on their roofs.
In 1704 the lighthouses were compulsorily transferred into public ownership.
- Lundy, Darryl. "Sir Robert Reading, 1st and last Bt". The Peerage.[unreliable source]
- 'Volume 91: 16 June – 19 October 1704', Calendar of Treasury Papers, Volume 3: 1702-1707 (1874), pp. 271-298., british-history.ac.uk
- Lundy, Darryl. "Jane Hannay". The Peerage.[unreliable source]
- Cokayne 1910, p. 6, line 16: "He [Abercorn] m. (Lic. at Fac. off 24 January 1683/4) Elizabeth (then aged about 15), only child of Robert Reading, of Dublin, Bart. (so created 1675) ..."
- "Library and Archive catalogue". The Royal Society. Retrieved 4 October 2010.
- "The Baronetage". peerage.com. Archived from the original on 1 May 2008. Retrieved 4 October 2010.CS1 maint: unfit URL (link)
- A Brief History of Irish Lights Archived 2007-02-03 at the Wayback Machine, The Commissioners of Irish Lights, retrieved 24 September 2009
- Cokayne, George Edward (1910), Gibbs, Vicary (ed.), The Complete Peerage of England, Scotland, Ireland, Great Britain and the United Kingdom, Extant, Extinct, or Dormant, 1, Ab-Adam to Basing (2 ed.), London: St. Catherine Press