Eclipse's father has a house in the northwestern part of the city. After the events at the LCCC, Aster brings Eclipse's lifeless body back to her father. She can then be found lying in bed. Completion of the sidequest rewards a Shiny Charm.
After the Battle of Agate story segment, find a woman named Murmina hiding in a storage room outside Calcenon City, connected to Route 4. After battling her, solve the Calcenon Gym's floor tile puzzle to access a secret room. Inside, give Murmina the Family Picture found at the Belrose Manor to receive a Torchic Egg in return.