Talk to Gladys on the Griundbreaker to start "The Distress Call" side quest.
This will send you to Roseway and whilst here will be tasked with finding secrets for Gladys.
Retrieve the research (it's advisable to get all three pieces and also to kill all of the Outlaws) and save it at Roseway.
Hand the reseqrch back by first telling the doctor that the outlwas have no leader. Once the conversation is over the trophy will pop.
If you want some nice juicy bits and to get the Navkey for Stella Bay off gladys. Then reload the save and sell her the information for all three researchers.