In the movie "Under Siege," the character of the woman is Casey Ryback, played by Erika Eleniak. She is a former Playboy Playmate who serves as a birthday surprise for the crew but becomes an important ally to the protagonist, naval chef and ex-SEAL Casey Ryback, played by Steven Seagal, as they work together to thwart a group of terrorists who have taken control of a battleship. Eleniak's character adds a layer of tension and support in the action-packed storyline.

No, "Under Siege" was not filmed on the USS Missouri. While the movie is set on a battleship, it was primarily filmed on the USS Alabama, a decommissioned battleship located in Mobile, Alabama. The USS Alabama served as the main setting for the film's action sequences. The choice of the USS Alabama provided an authentic naval backdrop for the story, which features a hijacking on a military vessel.

"Under Siege" is a 1992 action film directed by Andrew Davis. It stars Steven Seagal as Casey Ryback, a former Navy SEAL who works as a cook on a U.S. Navy battleship. The plot unfolds when the ship is hijacked by a group of terrorists led by a former CIA operative, played by Tommy Lee Jones, who plans to steal nuclear weapons. Ryback must use his combat skills to thwart the terrorists, rescue the hostages, and save the ship. The film is known for its thrilling action sequences and Seagal's martial arts prowess.