The 22nd regiment left for Ireland in October 1821.
In January 1822 it was sorting out a looming riot involving 3,000 (so claims the book below) in Newmarket, Cork.
This is a history of the regiment to 1849 with a few more details of the regiment's time in Ireland:
https://babel.hathitrust.org/cgi/pt?id=mdp.39015056709887&view=1up&seq=1
See book pages xiv, 134 and 135.
Regards
1822 marched to Buttevant; detachments sent to Mallow, Barntee, Charleville and Ballyclough.
"... exceedingly unsettled condition and the riotous and violent conduct of the peasantry made numerous small detachments necessary for the preservation of order."
Marched to Dublin 1824 then went to County Galway. The regiment remained in Ireland until winter 1826. Thence to Jamaica where 140 officers & men died of fever in 2 months. Considering the gap of 6 years between ages of Robert (b.1822), Joseph junior and Samuel, I wonder if their father went with the regiment to Jamaica and mother returned to Cheshire? There may have been children in between who died.
Regiment in Ireland again 1838, 1839, 1840.
The regiment had several stays in Ireland in 18thC. 1699-1701; quartered there 1718-26 & 1749-56.
There's an old thread on Ireland Resources board which has names of some regiments stationed in Ireland with dates & locations + an invitation to add more. You could add the Cheshires.