Many thanks for this information. It is a big piece in the jigsaw puzzle. His eldest son who was called Charles we believe was born in 1783 but that was before he (the Rev Archibald Paine Inglis) was Rector of Glanville. The children you have found fit in perfectly with his time as Minister of Glanville from 1789 -1801 when he died. There are probably some more children born between 1783 and 1790 but they may have been born in Ireland. Bishop Charles' journal mentions that he Christened a daughter of Archibald (his nephew)in 1788 when Archibald was President of the Academy at Windsor. I don't suppose the information source you found these names also had records of Marriages or Deaths.
I can't thank you enough for letting me know this information.
FYI My e-mail address is firstname.lastname@example.org and my website is www.inglis.uk.com