What is the name of Riley's personality island dedicated to her family?

Riley’s personality island dedicated to her family is called Family Island.

In Inside Out, personality islands are physical manifestations of Riley’s core memories and the traits they support. Family Island represents her emotional bond with her parents and home life. It is one of the original islands established before Riley’s move from Minnesota to San Francisco.

The island becomes especially important near the climax. After Riley’s other major islands collapse, Family Island is the last one remaining. When Riley returns home and shares her sadness with her parents, Joy and Sadness help create a new mixed-emotion core memory, allowing a new Family Island to form.

A common mix-up is Goofball Island, which reflects Riley’s playful side, or Friendship Island, which represents her relationships with friends. Family Island specifically symbolizes family attachment, not general happiness or childhood fun.