Harmony Grace wakes up. Cold and told of a legacy she has no control over.
Her father was one of the greatest pilots the federation has ever seen. And she knows more about Star Fleet than just about anyone.
As her memory returns, she starts to uncover the 'travesty' that landed her her fame. And is assigned to the Enterprise to help protect the inhabitants of Earth.
Selar, the daughter of Spock. Took over the ship as Captain after Kirk handed it down to her. She's everything her father was and more.
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Jonas McCoy. For the longest time he didn't know his father, but is almost an exact replica of him. Cocky, sarcastic, and charming Jonas is the CMO aboard the Enterprise.
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Dina Chekov. The Russian daughter of Pavel Chekov. She's taken her father's place as the navigator. Her boyfriend, however, has gone on an away mission - and never come back.
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Alana Pike. Her father was killed by an alien species. She has only her 'older brother' figure James Tiberius Kirk as family. She sits at the helm of the Enterprise.
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The children of the original Enterprise crew have taken over in their parents place. They face challenges of outside forces, and within the crew themselves. Though through all the times, love is peeking out along the way, always there, ready to blossom...
And it's a wild adventure for those who nurture it.
(Based off an idea from a role-play)