Looks like you need your tree updating, but well done for giving us what you have done
heres my last offering
in 1841 census your Danl Gorman b 1801, Surgeon is living at {unnumbered entry in }Stockwell street in the parish of Lanark in Glasgow with Margaret his wife b1799/ there is no mention of Ireland
Daniel Gordon b 1801 m year >1827 ? location ? Margaret b 1799
children
1. Patrick b 1827 Lanarkshire later 1851, could be a clerk in Rutherglen Loan,
Parish Gorbals
2. Daniel b 1828 Lanarkshire no trace in 1851 census for lanarkshire
3. Thomas b 1840 Lanarkshire no trace in 1851 census for lanarkshire
there is another resident Cath Fitsimons b 1796 occupation F S {Female servant?]
{Could be Margarets sister i forgot to check her brthplace if mentioned
other sources unexamined
Post Office Directories of Glasgow
online see
http://digital.nls.uk/directories/browse/pageturner.cfm?id=83841290a quick look revealed
1841-1842 page 105 Gorman Daniel Surgeon 144 Bridgegate house 161 Stockwell street the year
1845-1846 has Gorman Mrs Daniel 144 Bridgegate,
1846-1847 has Gorman Mrs Dr., 144 Bridgegate,
1850-51 no entry
obituary notices
Glasgow Medical Journal (from 1828), the Edinburgh Medical Journal (from 1805), the Lancet (from 1823) All these volumes are available in the College Library see
https://www.rcpsg.ac.uk/library.aspx I’m done, hope you get help from others