The second episode of the South Korean drama solidifies its reputation as a heartwarming yet emotionally complex exploration of "chosen family". Titled "One Family Name," this episode moves past the initial childhood introductions and dives into the high school years of the central trio: Kim San-ha (Hwang In-youp), Kang Hae-jun (Bae Hyun-sung), and Yoon Ju-won (Jung Chaeyeon). High School Dynamics and the "Messenger" Burden

The climax of the episode sees a painful decision. Driven by a misunderstanding (or perhaps a misguided desire to protect the family from the drama his mother brings), Hae-jun decides to leave the house. The episode ends on a cliffhanger as Ju-won and Seo-hyun are left standing in the doorway, watching him walk away. The "family by choice" is fractured before it could fully solidify.

The story picks up ten years after the events of the premiere. (Jung Chae-yeon), Kim San-ha (Hwang In-youp), and Kang Hae-jun (Bae Hyun-sung) have grown up in a single household raised by their two fathers, Jung-jae and Dae-wook .

The emotional core of Episode 2 is the sudden reappearance of Hae-jun’s biological mother. Her arrival sends shockwaves through the household. Unlike the idealized version Hae-jun might have held in his heart, she appears selfish and opportunistic, interested in him only now that her circumstances have changed.

The apartment is quiet. Min-seok is sprawled on the couch, snoring. Jin-ho is already awake, sitting on the balcony, staring at nothing. Ha-eun tiptoes into the kitchen, opens the fridge—it’s empty except for two eggs, a half-onion, and leftover rice.

At school, Ju-won finds herself caught in the middle of her brothers' popularity. She often acts as a messenger for girls trying to give them gifts. A major conflict arises when Park Hui-ju , Hae-jun's ex-girlfriend, attempts to frame Ju-won for bullying after a physical altercation near a pond. San-ha eventually intervenes, using his sharp wit to expose Hui-ju's lie and protect Ju-won.