Noun
princeship (countable and uncountable, plural princeships)
The dignity, rank, or office of a prince.
He had the conviction that his princeship entitled him to disregard decency and the feelings of others. Source: Internet
In 1282, Llywelyn was killed during Edward I of England 's invasion of Wales and although his brother Dafydd ap Gruffudd succeeded to the Welsh princeship, issuing documents as prince, his principality was not recognised by the English Crown. Source: Internet