He was a grandson of the Rev. Robert Persse (died 1612), who originated in Northumberland but settled in Ireland in the late 16th century and was buried at Bodenstown, County Kildare. Dudley's father (Henry of Clane) was one of three sons born to Robert Persse. Henry married an Elizabeth (surname unknown) and was dead by 1673, Sybil and Dudley being his only two children.
He purchased the Spring Garden estate in County Galway, where he lived until he purchased Cregarosta in the same county, between Loughrea and Gort.[5] He built a house there, which he named Roxborough in honour of Northumberland and which was thereafter was the seat of the Persse family for 245 years until destroyed by fire in 1922 during the Irish Civil War.[6]
He married Sarah, daughter of John Crofton of Lisnadurn, County Roscommon and had issue:
^Fasti Ecclesiæ Hibernicæ: The Succession of the Prelates, Volume 4" Cotton, H pp202-205: Dublin, Hodges & Smith, 1851
^Fryde, E. B.; Greenway, D. E.; Porter, S.; Roy, I. (1986). Handbook of British Chronology (Third Edition, revised ed.). Cambridge: Cambridge University Press. p. 407. ISBN0-521-56350-X.
^Castles and Demesnes: Gleanings from Kilconieran and Clostoken, ed. Fr. Cathal Stanley, 2000. ASIN B004B9E4WQ
^The Fields of Athenry: a Journey Through Irish History, James Charles Roy, 2001. ISBN0-8133-3860-3