Family sharing and non-organizer's previous purchases
It sounds like you went into the App Store > Searched for the App > Installed. Rather, with Family Sharing, you would want to navigate to the App Store > Tap your icon in the upper right corner > Purchased > from here you should see each member of the Family. Tap into one of them to view their purchases &amp; ultimately download free of charge. When it is being downloaded free of charge you will see the iCloud icon with an arrow pointing down.

Hope that helps!