Storey was the son of Frederick George Storey and his wife Mary Dagmar née Hutton, and was educated at Haileybury and Trinity College, Cambridge. After graduation, he became a barrister in the Inner Temple in 1919 and joined Sunderland Borough Council in 1928. He was elected as Member of Parliament (MP) for the Sunderland constituency at the 1931 general election (a post his namesake grandfather had held from 1881 to 1895 and briefly in 1910), and held the seat in the House of Commons until his defeat at the 1945 general election. He joined the East Riding of Yorkshire County Council in 1946.
Storey returned to Parliament at the 1950 general election, when he was elected MP for Stretford and during his tenure was Chairman of the Standing Committees and Temporary Chairman of the Committees of the House of Commons in 1957 and Chairman of the Committee of Ways and Means from 1965–66.
He was created a baronet in February 1960 and, after his defeat at the 1966 general election, he was given a life peerage as Baron Buckton, of Settrington in the East Riding of the County of York.
Lord Buckton died in January 1978, aged 81. The life barony became extinct on his death while he was succeeded in the hereditary baronetcy by his son, Richard.
- Leigh Rayment's Historical List of MPs – Constituencies beginning with "S" (part 6)
- Craig, F. W. S. (1983) . British parliamentary election results 1918–1949 (3rd ed.). Chichester: Parliamentary Research Services. p. 254. ISBN 0-900178-06-X.
- Craig, op. cit., page 255
- "UK General Election results February 1950". Richard Kimber's political science resources. Retrieved 28 January 2010.
- "No. 41945". The London Gazette. 2 February 1960. p. 858.
- "UK General Election results March 1966". Richard Kimber's political science resources. Retrieved 28 January 2010.
- "No. 41945". The London Gazette (Supplement). 2 February 1960. pp. 5785–5786.
- "No. 44024". The London Gazette. 17 June 1966. p. 7005.
- Debrett's Peerage. 1973.
- Hansard 1803–2005: contributions in Parliament by Samuel Storey
|Parliament of the United Kingdom|
Marion Phillips and
| Member of Parliament for Sunderland
With: Luke Thompson to 1935
Stephen Furness from 1935
Richard Ewart and
| Member of Parliament for Stretford
|Baronetage of the United Kingdom|
|New creation|| Baronet
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