Family Member Access to Burn Pit Registry Act This bill authorizes a family member to register on behalf of a deceased veteran or servicemember in the Department of Veterans Affairs Airborne Hazards and Open Burn Pit Registry. A burn pit is an area used for burning solid waste in open air without equipment. The registry allows certain veterans and servicemembers to report deployment exposures to airborne hazards such as smoke from burn pits, oil-well fires, or pollution, as well as other exposures and health concerns.