T. BRADFORD

                   Prior to her marriage to Ezekiel she was married to Will Bullington and one record says that she was married to Ammon Maynard (Dorsa Garrison Law records)

ancestry.com   census search...
88 Bullington's in census
There is a William Bullington in Jackson County...looks promising:
1850
BULLINGTON
WILLIAM
Jackson  County   TN
   273
10th  District
Federal  Population  Schedule
TN 1850
Federal  Census  Index
TNS5a233065

   Family records..
Bill Maynard, Baxter or Cookeville,Tenn.

Pension Application records from Natiional Archives..
2nd child born to Ezekiel and Harriet was stillborn female child.
. 
Civil War Pension Index
Search Results  U.S. Census.
View original
documents
online 
   
Viewing records 1-1 Matches  
Ezekiel Maynard   View Image Online 
    Images Online #: 3111 State Filed: Tennessee 
    Widow: Harriet Maynard Relative:    
    Minor:   Comments:    

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   Was her father's name William Bradford?  There are many listed in DeKalb,and surrounding areas.
Wonder if Clellie knows?
She went by Harriet Bradford, Harriet Bullington, Harriet Maynard.
                  

                   familysearch.org
   
                            1846
                            Cookeville, Putnam, Tn
                          D: 
                            16 Nov 1938
                            Silver Point, Putnam,
                            Tn
                          M: 
                            6 Apr 1839
                            , Putnam, Tn