The only special uses of the word "prince" are --

1. "Princes of provinces" (1 Kings 20:14) who were probably local governors or magistrates.
2. The "princes" mentioned in (Daniel 6:1) (see Esth 1:1) wore the predecessors of the satraps of Darius Hystaspes. The word princess is seldom used in the Bible, but the persons to which it alludes-- "daughters of kings" are frequently mentioned.

The Traitors
... pursuit. "My son, the man was Siptah, son of Amon-meses; the woman, the Princess
Ta-user.". The prince's face took on an insane beauty. ...
//christianbookshelf.org/miller/the yoke/chapter xxxviii the traitors.htm

The Finding of Moses
... The princess called him Moses, which means "drawn out," because he had been drawn
out of ... come to live with her at the palace, and be brought up as a prince. ...
/.../steedman/the babe in the bulrushes/the finding of moses.htm

No House of any Pretension to be Called a Palace is in the Least ...
... In all history we find that fairies give their remarkable gifts to prince or princess,
or any child of sufficient importance in their eyes, always at the ...
/.../macdonald/at the back of the north wind/chapter 28 no house of.htm

Biographical Preface.
... of a great king was unworthy of a Prince of Wales, was the vain and characterestic
notion of King James, which opinion made him resolve that no princess but a ...
//christianbookshelf.org/bayly/the practice of piety/biographical preface.htm

Further Diplomacy
... The princess kept the posture of abandoned humiliation, into which Rameses had flung
her ... Then she raised herself and faced the direction the prince had taken. ...
//christianbookshelf.org/miller/the yoke/chapter xxvi further diplomacy.htm

The Dream of St. Ursula
... How do I know the princess is industrious ... In that one a prince of England has sent
to ask her in marriage; and her father, little liking to part with her, sends ...
//christianbookshelf.org/ruskin/saint ursula/ii the dream of st.htm

The Story of Moses, the Child who was Found in the River
... lived in the palace among the nobles of the land, as the son of the princess. ... So
from being a prince in the king's palace in Egypt, Moses became a shepherd in ...
/.../marshall/the wonder book of bible stories/the story of moses the.htm

The Conspiracy
... "Nay; I learned it from another source, not in the palace." The prince lapsed into
silence, his eyes averted. ... The pair started apart at sight of the princess. ...
//christianbookshelf.org/miller/the yoke/chapter xxxi the conspiracy.htm

The Love of Rameses
... Har-hat had risen the instant the words had passed the prince's lips and left ... knew
he had been heard, partly because he was angry at the princess' interruption ...
//christianbookshelf.org/miller/the yoke/chapter xxv the love of.htm

Saint George Releases the Six Champions.
... But know, brave Prince, as by your perseverance, valour, and judgment you have ... a
sumptuous monument over the grave of the hapless princess, Saint George's ...
/.../the seven champions of christendom/chapter two saint george releases.htm