I have a transcript of the 1851 Census for Dalston and there is a family of Tinklers living in the township of Gaitskill and Raughton as follows:
Edmund Tinkler , head, married, aged 39, a cooper employing one man. born Askham, Westmorland
Jane " Wife, " " 34, born Morland, Westmorland
William " Son, 9, born, Morland "
Mary A " Dau. 7, born Morland "
Henry " Son 6, Born Morland
Thomas " Son 4, born Dalston, Cumberland
Agnes " Dau. 2, born " "
jane " Dau 2 mths " "
Mathew Hall, Nephew 18, apprentice Cooper, born Morland
Hope this is of some help.
Mary