"United States Census, 1860", database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MXFJ-L2P : 30 December 2015), Wm H Westmorland in entry for W W Westmorland, 1860.
Son's death record names parents: "Texas Deaths, 1890-1976," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:K379-GLX : 5 December 2014), William Westmoreland in entry for Joshua James Westmoreland, 27 Jul 1925; citing certificate number 26979, State Registrar Office, Austin; FHL microfilm 2,113,922.
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W > Westmoreland > William Wiles Westmoreland