He was educated at Bury St Edmunds Grammar School, and was admitted at Emmanuel College, Cambridge in 1759 and at Middle Temple in 1759.
[1][2] Sparrow was returned as Member of Parliament for Bedford at the 1774 general election on the interest of his brother-in-law Sir Robert Bernard, 5th Baronet but was unseated on petition 23 March 1775.
In his short period in Parliament he voted with Opposition on, 22 February 1775 regarding John Wilkes and does not appear to have spoken in the House [1] Sparrow was High Sheriff of Suffolk for 1777–8.
[3] In 1800 he decided to proceed with development of the hall and commissioned Francis Sandys to produce revised plans which were implemented.
Their daughter Mary married Archibald Acheson, 2nd Earl of Gosford and inherited Worlingham Hall.