"United States Census, 1880," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MW3S-331 : 26 August 2017), May Bradley in household of William Bradley, Pierson, Montcalm, Michigan, United States; citing enumeration district ED 242, sheet 298A, NARA microfilm publication T9 (Washington D.C.: National Archives and Records Administration, n.d.), roll 0597; FHL microfilm 1,254,597.
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There seems to be two profiles entered for this lady: Baker-27224 and Harrison-11817. I think the confusion is because the 1880 census listed her name as MAY, not Mary. The husband and two children are the same. I don't know how Harrison got added to her name unless she was married to one before she married Bradley. You are the manager of both profiles so you can merge them and use your knowledge of the facts to end up with one profile if you agree with this. Please let me know.