He is known for his surveying work in the Colony of New South Wales, Australia.
He was the second son of Vice Admiral William Clement Finch (1758-1794) and Mary Brouncker.
He left Gravesend on 2 October 1824 on the Grenada, with his wife, and they arrived in Sydney on 23 January 1825.
He was granted 1,000 acres (405 ha) along the Great North Road, which he named "Laguna".
Heneage died on 19 September 1850 at Hoxton Park, New South Wales from injuries after being gored by a bull.