Sparke was the son of Jonathan Sparke of Plymouth (second son of John Sparke (c 1574–1640), Member of Parliament, of The Friary, in the parish of Street Jude, Plymouth) by his wife Mary Basset, daughter of Sir Robert Basset of Heanton Punchardon. Jonathan Sparke is mentioned in the Travel Journal of Cosimo III de" Medici, Grand Duke of Tuscany (1642-1723) who was visiting Plymouth on 5th April 1669:
"On the 5th of the same month Sir Jonathan Spark came to pay his respects to the serene prince, accompanied by his son. This gentleman is an inhabitant of Plymouth, in the neighbourhood of which he possesses an estate of a thousand pounds a year.
Consequently he is considered the principal person of the place".