These are the Cunningham's listed;
Barrack lane or Tea lane; (28)
Cunningham Timothy & Bridget; Timothy, Thomas, James, Christina, Bridget, Magaret.
Durrow Demesne;
Toler; (Lucy Cunningham)
Pensioners row (17)
Cunningham Mary; (laundress)
Thomas st (5)
Cunningham Daniel & Anne; Bridget, James, John, Daniel, Martha.
Electors list 1936/36
Barrack lane;
Cunningham Bridget, Bridget, James, Timothy, Timothy
Brides lane;
Cunningham Martha, Patrick.
Davitt st;
Cunningham Philip.
Kilbride st;
Cunningham Bridget, Esther. Francis.
O Carroll st;
Cunningham Mary, John.
The names are taken from Tullamore Roots by Noel Farrel and are from the 1901 census, but not a full version. No other info included.