I can only find Charles and Sarah having one child, Andrew. He appears to have died aged 12 in 1875 so Charles’ line doesn’t appear to have any descendants.

familysearch.org/ark:/61903/1:1:XZTW-HWL

As Irish records are rare for the first half of the 19th century you may not be able to find baptism records for the children born in Ireland so a relationship is likely between the various Lyncheys on the Isle of Man but it's difficult to prove for certain how they all fit in and who exactly were children of Michael and Sarah.