Actually,I have a copy of the census where both women are listed.
Now let me try to explain the connection. My ggrandfather was George Quayle ,born March 10,1883 IOM.His mother is listed as Margaret Quayle,with father unknown.He appears to be living with James Watson and Catherine Quirk in Michigan in 1887.The question is how did he come to be living with them as a son,when Catherine is not his mother?They did have a son in 1884 James William.Does that make any sense?