01
The story
The short version. Second Chance, 41 episodes on YourChannel. Rosie is five years old and refuses to take handouts, collecting bottles and cardboard to earn money for her sick mother Ellie's medicine.
It opens at a restaurant table. Rosie guards her food and tells the adult not to give any to her mother, calling herself a heartless kid, while a diner teases her that with all this money she is still scamming meals here. A woman explains that Rosie has to reach a healthy weight before she can donate bone marrow to her mother. When a kind stranger offers money for medicine, Rosie answers that her mother taught her not to take things from others, and that she can earn money herself collecting bottles and cardboard. Asked where her father is, she says she has no father; all she has is the family crest he left for her and her mother.
Episode six brings Rosie to Ethan's side. The relatives cannot believe Ethan has a child this big and assume it belongs to some actress's mother he hired. Rosie steps up to him and calls him daddy, then quietly notes what it feels like to be held by a father. Ethan brushes the child off, saying he has no time for little kids, while the relatives keep staring because the girl looks exactly like him.
Episode ten settles the question: the test result shows a parent-child probability of 99.99 percent, and the people around Ethan conclude Rosie really is his daughter. Rosie asks only that Ethan return her mother's money for the hospital, refusing to stay or call him daddy, while Ethan finally answers the call he should have taken long ago.
The episode then cuts to the Hawthorne household. The family trust states that if Ethan has no heir by thirty, the fortune goes to his uncle. The relatives complain that Ethan still pines for the woman who dumped him, even after giving away the family crest, and wish that woman had left the Hawthorns a child. The crest Rosie carries turns out to be that same Hawthorne crest.
Series facts checked against the YourChannel listing. Notes cover the opening episodes only; nothing here reveals the ending.