Winona Kirk was the wife of Starfleet officer George Kirk and the mother of James T. Kirk. She was with her husband aboard the USS Kelvin in 2233 before it was destroyed; they named their son after her father James and his father Tiberius.
In 2233 of an alternate reality, the Kelvin fell under the attack of the Romulan mining vessel from the future called Narada. Winona was in the final stages of pregnancy at the time, and was wheeled to the escape shuttles on order of her husband, who had assumed the duties of command following the death of Captain Richard Robau at the hands of Nero. She went into labor shortly before boarding Medical shuttle 37 and evacuating the ship. George Kirk spent his final moments on the comm with his wife, deciding on the name "James Tiberius" before the Kelvin collided with the Narada.
Background information Edit
In the 2009 film Star Trek, Winona Kirk was portrayed by Jennifer Morrison. She received an on-screen credit in the 2013 sequel Star Trek Into Darkness, for use of her voice in the audio flashback to the first film.
In the script of Star Trek, Winona Kirk was referred to as a twenty-five year-old at the time she is depicted in the film, set in 2233. 
On the Star Trek audio commentary, Producer Damon Lindelof stated that, in an early form of the script, Winona died in childbirth – in an emergency, the transporter could be used to remove a baby from the womb, but at the cost of the mother's life. According to J.J. Abrams, earlier scripts also included her in the angry telephone call during young Kirk's joyride, but this was dropped since, given her portrayal in his birth scene, it would feel "counter-intuitive" to cast her in this negative light.
She may have a brother, since James T. Kirk said he was staying at his uncle's farm in Star Trek Generations. It was never made clear which of his parents had a sibling, though, or if he was just using the term for a long-time family friend. A deleted scene from Star Trek had Winona's sons being cared for by their uncle Frank, who was abusive in her absence. The script explained that at the time of the corvette incident, she was in Africa, and expected to stay there for another five months. When the role of Frank was edited out of the movie, it was reworked into Winona's new husband heard in the film. However, only in the credits is it mentioned Winona remarried after George Kirk's death.
Information from several of the novels and short-stories states she was born in 2210 and was of Sioux descent.
She had a male counterpart, mentioned in Parallel Lives, Part 1.