Sprigg was born in Prince George's County, Maryland.

He served during the American Revolutionary War as ensign in the Maryland Battalion of the Flying Camp from September to December 1776.

He was appointed the first register of wills of Washington County, Maryland, in 1777, and served until September 29, 1780, when he resigned.

[1] He was appointed lieutenant of Washington County by the governor and Council of Maryland on December 21, 1779.

Sprigg was elected as an Anti-Administration candidate to the Third Congress and reelected as a Democratic-Republican to the Fourth Congress, serving from March 4, 1793, to March 3, 1797.