So far, the Mitchells seem to be avoiding being found!
There seem to be at least two Mitchell families on the 1841 for Wrexham. As it's not a 'common' name in the area, it might be worth listing them
Wrexham Abbot - Tutle Street
Edward, 28, shoemaker
Sarah, 22
Henry, 5
Hannah, 2
Edwin, 2 months
Wrexham Regis, Seven Bridge Lane
Edward, 40, shoemaker
Mary, 41
Henry, 15, Coach painter's apprentice
Edward, 11
Alfred, 6
Caroline, 3
Walter, 4 mths
All are born county
I have some local records on my other computer and will see if there's anything there.