Chris Skrelja grabbed 13 rebounds for the Bears (4-5), who snapped a two-game losing streak and beat the Hawks (3-7) for the fifth straight time.
Williams, the son of former NFL quarterback Doug Williams, scored 16 points in the opening half to help Brown to a 42-23 lead at intermission.
Brown cooled off in the second half, shooting 28.6 percent compared with 55.6 percent in the opener.
Zeglinski scored eight points early in the second half as the Hawks cut their deficit to eight. But a Williams layup and a 3-pointer by Skrelja let Brown coast down the stretch.