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Manx Genealogy

Leadbetters in 1881

Hi everyone I wonder if anyone can help. I have a family I am sure should be in the Isle of Man in 1881 but I can't find them anyhwere.

Leadbetter.. Peter born c 1841 in Lancashire and Mary Leah born c 1849 in Rippon Yortkshire. They married in Saint Barnabas, Douglas in 1871. In 1881 they should have 3 children with them Eccles c 1873 Leah c 1877 and William 1879.
Any help would be appreciated Thanks.