This Richard Chaloner is not the son of Nichola Sophia Cole-Hamilton (nee Chaloner). He was born 1810, and took the name of Chaloner to inherit from his maternal grandfather.
Nichola Sophia’s father was Richard Chaloner of Kingsfort, co. Meath. He was married 1784, so if he is the one mentioned for 1767 he would have been young. His father and grandfather were not called Richard, so he is the most likely candidate.