Noe's attorney says he is still gathering information about the case.
The headless body of the 35-year-old Thomas was found outside a vacant Houston house. Police found his head and arm in a trash bag under the house the two men shared, with a chain saw next to it. Officials say Thomas had been shot in the head before being dismembered.
Neighbors described Thomas and Morin as best friends and speculated that a dispute over money might have led to the slaying.