She Slept, They Waited a Lifetime

One family's eldest son runs a project that puts a person into frozen sleep inside a capsule, and it needs volunteers. The youngest daughter of that family was the one everybody doted on, until another woman framed her and took her place as the heiress. After that the rest of the family stopped caring for her. She was shut out and treated badly in her own house. She went on looking out for her family in her own way without telling anyone. She put her name down for her brother's sleep project in secret and went into the capsule. Only after she was under did her brothers learn that she was the real heiress all along. They wait thirty years for her to wake up, long enough for their hair to turn white.