Weary, a six-year veteran, had started all 12 games this season. White, a backup, had appeared in six games.
Brisiel, a guard, has been on the Texans practice squad for the past two seasons. He played with the Hamburg Sea Devils in NFL Europe last season.
Hodgdon, a fifth-round pick in 2005, started eight games for the Texans from 2005-06. He was released during training camp.
The team also signed guard Dan Stevenson to the practice squad.
Copyright 2007 by The Associated Press. All Rights Reserved