Braun Husky was a member of the Husky family at Haddock Cove at some point prior to the arrival of the Sole Survivor in 2287. Together with the rest of the family, he helped build and maintain an outpost on the water using scrap from nearby houses. Braun was sometimes put in charge of brush removal around the outpost, to keep lines of sight clear in order to see anything approaching their outpost. This would occasionally be required at night, along with taking night shifts on watch. Braun apparently had issues with this, due to reprimands from Bray on the holotapes present in the outpost. He also eventually became too afraid to leave his bunk to do his chores, claiming something was peering up at him from under the outpost's baseboards.
Braun would lose his life in the attack on the outpost by mirelurks, due to the dead fish and chum having lured them there. According to Bray's last holotape, Braun had been killed by a mirelurk king, and was being eaten when Bray found him.
The following is based on unverified behind the scenes information and has not been confirmed by canon sources.
Bray Husky and the rest of his family are references to the WWE tag team known as "The Wyatt Family" which consists of Bray Wyatt, Erick Roowan, Luke Harper, and Braun Strowman. The Husky part of their names comes from the fact that Bray Wyatt was formerly known as Husky Harris before he left and came back as Bray Wyatt.