yes they did.
In a deleted scene from Return of the Jedi Leia, Luke, Han and the others return to where the falcon is parked in the desert during a sand storm. Leia is wearing her costume as well as a robe to protect her from the storm. So the answer to your question is yes.
Leia Solo or Princess Leia. She's married to Han Solo.
Princess Leia Organa, or Princess Leia Organa Solo as she was when she married Han Solo.
Han Solo's ship is The Millennium Falcon
Han Solo won the Millennium Falcon from Lando Calrissian in a game of sabacc.
His first love mentioned in the EU was a Rebel agent by the name of Bria Tharen, However, since you only ever have one "True Love", Princess Leia would probably be the correct answer. Bria Tharen is mentioned in Rebel Dawn, Volume 3 of The Han Solo Trilogy by A.C. Crispin I will answer this when you tell me who "hans" solo is. If you are referring to the Star Wars character Han Solo played by harrison ford, it just might help to watch the movies.
Throughout the Star Wars movies there were several different people who piloted the falcon. However, the most recognizable and the main pilots are Han Solo (the Millennium's owner) as pilot and Chewbacca the Wookie as copilot. Other pilots include Lando Calrissian, Leia Organa.
Han Solo and Chewbacca
Han Solo likes Princess Leia as a girl friend because after the destruction of the second Death Star, they get married
The name of Han Solo's ship is the Millennium Falcon.
Han Solo won the Millennium Falcon from Lando Calrissian in a game of Sabacc.
Han Solo's first mate on the Millennium Falcon is spelled Chewbacca.