Find Out How to Name a Group Chat on Facebook Messenger Here. First, choose the group chat whose settings you want to modify by tapping on them. Tap any of the names of your contacts that appear at the top of the screen in Step 2. Step 3: In the upper-right hand corner of the screen, tap where it says "Edit." Tap the "Change Name" option that appears in the menu that displays as the fourth step. Step 5: Give your group chat a title by typing its name.