| Member of the U.S. House of Representatives from Massachusetts's 11th district |
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| In office March 4, 1841 - June 15, 1843 |
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| Preceded by | John Reed, Jr. |
| Succeeded by | John Z. Goodrich |
| Member of the Massachusetts Senate |
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| In office 1838-1838 |
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| Preceded by | David Joy |
| Succeeded by | George Bruce Upton |
| Member of the Massachusetts Senate |
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| In office 1825-1833 |
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| Preceded by | Jethro Mitchell |
| Succeeded by | David Joy |
| Personal details | |
| Born | January 30, 1798 Nantucket, Massachusetts |
| Died | June 15, 1843 Washington, D.C. |
| Resting place | Prospect Hill Cemetery, Nantucket, Massachusetts |
| Political party | Whig |
Barker Burnell (January 30, 1798 – June 15, 1843) was a U.S. Representative from Massachusetts.
Born in Nantucket, Massachusetts, Burnell served as member of the Massachusetts House of Representatives in 1819. He served as member of the Massachusetts constitutional convention in 1820. He served in the Massachusetts Senate in 1824 and 1825. He served as delegate to the Whig National Convention in 1840.
Burnell was elected as a Whig to the Twenty-seventh and Twenty-eighth Congresses and served from March 4, 1841, until his death in Washington, D.C., June 15, 1843. He was interred in Congressional Cemetery. He was reinterred in Prospect Hill Cemetery, Nantucket, Massachusetts, in 1844.