Hime (姫 ) is the Japanese word for "princess", or more literally "demoiselle", i.e. a (usually young) lady of higher birth. Daughters of a monarch are actually referred to by other terms, e.g. Ōjo (王女?), literally king's daughter, even though Hime can be used to address Ōjo.
The word Hime initially referred to any beautiful female.
Hime is commonly seen as part of a Japanese female divinity's name, such as Toyotama-hime. The masculine counterpart of Hime is Hiko (彦, 比古 or 毘古,) which is seen as part of Japanese male gods' names, such as Saruta-hiko.
Hime may also indicate feminine or simply small when used together with other words, such as Hime-gaki (a low line of hedge).
Usually, a "Hime" will go through a ceremony, in which she is considered
a "Daoshi" and then later becomes a Hime. The ceremony is similar to
the Japanese tea ceremony, and is usually up to 3 hours.
Ichi hime ni taro "First baby, a girl. Second baby, a boy":
It originally meant that having a girl first, and a boy second was
easier on the mother as she gained experience before nurturing a boy.
However, with each household having fewer children, this is commonly
confused as having "one girl and two boys", or three children. This is
because "ichi" means "one" in Japanese and "ni" means "two" in Japanese,
and therefore could be read as, "One girl, two boys."