I have the 1841 Middle Calton census with an Adam Williamson and Barbara Burton, both born ireland, with 4 children, James 15, John 15, George 10, cant make out the last name age 8
I also have MC 1859 for John Burton Williamson and Margaret Peel
Parents Adam Williamson dec, Barbara Burton alive then but died in 1883 Bridgeton
both of margaret's parents are dec. Isaac Peel and Mary Muir could be Isaac second wife
so looks like Williamson and Peel families new each other