Minnie, this is really getting quite ridiculous although I'm sure you didn't intend to cause so much confusion today. You've started 5 topic (several on the wrong board then duplicated elsewhere rather than waiting for a moderator to move them after you'd reported a problem). Even worse is that you post one thing then later contradict yourself later.
So far you've said-
Thomas Shaw born c1801 Belfast, in Masonic Lodge in Belfast (family story)
wife Elizabeth born c1805 Belfast/maybe Monaghan, maiden name Shaw (in 3 posts)/maiden name O'Neil
son William born May 1828 Donagha Co. Monaghan/born 1829, married in Scotland
From what you've posted so far there's no way to tell if any of the Monaghan records are for your Shaw family although you should certainly keep a note of them in case there does prove to be a link.
You need to start with FACTS and work your way back through records, Scottish ones first, to keep from making so many mistakes or assumptions. Aside from Scottish census records do you actually have any birth, marriage or death certificates? have you checked for church records? traced all possible descendants to see what information, documents and stories they have?