The Collaborative International Dictionary of English v.0.48:
Princedom \Prince"dom\, n. The jurisdiction, sovereignty, rank, or estate of a prince. [1913 Webster] Thrones, princedoms, powers, dominions, I reduce. --Milton. [1913 Webster]WordNet (r) 3.0 (2006):
princedom n 1: the dignity or rank or position of a prince 2: territory ruled by a prince [syn: principality, princedom]