Thomas Edgeworth- b 1800 is father,wife Ann, daughter Catherine, son Patrick Edgeworth b 1835, another son born in the USA Thomas Edgeworth b-1845(approx)his wife=Mary children=Thomas Jr, Ella, Richard, Michael, Joseph. See 1880 Cook County Census. So it appears that the line you are tracing with Patrick and my line Thomas are brothers.
I hope this helps. Thank you for your information:)