The USS Brookings (NCC-562) was an uncommissioned destroyer starship of the Jenghiz-class proposed to be built by the Federation Starfleet. The project was canceled and construction of the vessel never completed. (Jackill's Starfleet Reference Manual: Ships of the Fleet, vol. 1, 2006 revision) It's possible that whatever materials already invested in contract #562 went on to become another starship of a different class bearing that number, or another.