Of greater significance for NH genealogical research overall, some schools kept records of their students and teachers that are still extant today. (The Portsmouth Athenaeum has some material and contemporary newspaper ads for such school can be found on Genealogybank.com.) If you cannot get to Portsmouth, get a copy of John F. LaBranche & Rita F. Conant, In Female Worth and Elegance: Sampler and Needlework Students and Teachers in Portsmouth, New Hampshire 1741-1840 (Portsmouth: Portsmouth Marine Society, 1996.) Because it was published for a 2009 exhibition of samplers by the Portsmouth Historical Society it gives the creator's names and biographical data for 111 different samplers. Difficult as it is to find anything on females during that period, this is a must-read for New Hampshire genealogy.
Photos © Maura Mackowski, 2019