I have no birth date for John GARTON senior, but he married Catharine GILL on 4 Jul 1815 at Sculcoates in Yorkshire. His son John Henry GARTON was born in Hull about 1823 (the age seems to fit the John you mention). John's sisters Augusta, Charlotte and Cordelia were born between 1817 and 1820. John Henry GARTON married Harriet Hall RADFORD on 7 Jul 1845. I don't know if they had children.
Cordelia married George Staniland WAKE - this is my line.
I have no other information about the family, so I'd be glad of any information you might have.