He was the son of Ralph Partridge and Frances Marshall, and named after Lytton Strachey. In 1962, Burgo married Henrietta Garnett, daughter of Angelica Garnett and David Garnett. At the wedding, seventeen-year-old Henrietta was already pregnant with their daughter. Burgo died suddenly of heart failure on 7 September 1963, only three weeks after the birth of their baby, Sophie Vanessa. He had already been noticed for his writing ability, and had published one well-received book, A History of Orgies (1958), which was a financial success for himself and his publisher Anthony Blond.
- Adam Kuper, "Incest & influence: the private life of bourgeois England" Harvard University Press, 2009, ISBN 0-674-03589-5, p.242
- Mary Ann Caws, Sarah Bird Wright, "Bloomsbury and France: art and friends", Oxford University Press, 2000, ISBN 0-19-511752-2, p.386
- Anthony Blond, "Jew Made in England", Timewell Press, 2004, ISBN 1-85725-200-4, p.109