Welcome to Ireland Reaching Out!
There are two parishes in Co. Carlow which have Ricketstown townlands. The map you attached is for the three Ricketstown townlands in Kineagh civil parish. There is also a Ricketstown in Rahill civil parish. Both civil parishes are in north Carlow. near the border with Kildare and Wicklow.
I looked at the Tithe records and found some Davis records in the Ricketstown in Rahill civil parish in 1825 so I would lean to that parish but again the two are not far apart.