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Dear Ms. Johnson,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located 2 digitized file units for Oxford, Derrick - New Hampshire - General Whipple and Staff and Oxford, Derrick - New Hampshire - First Regiment in the series titled Compiled Service Records of Soldiers Who Served in the American Army During the Revolutionary War, 1894-1912 from the War Department Collection of Revolutionary War Records (Record Group 93).
We hope this is helpful. Best of luck with your research!