The penal code does not give you permission to do things. It outlines what you CANNOT do. If it is not outlined in the penal code then it can be done.
The penal code in 46.04 outlines the possession of a firearm by a felon with "UNLAWFUL POSSESSION OF FIREARM. (a) A person who has been convicted of a felony commits an offense if he possesses a firearm:(1) after conviction and before the fifth anniversary of the person's release from confinement following conviction of the felony or the person's release from supervision under community supervision, parole, or mandatory supervision, whichever date is later; or(2) after the period described by Subdivision (1), at any location other than the premises at which the person lives."
The penal code then defines a firearm in 46.01 as "Firearm" means any device designed, made, or adapted to expel a projectile through a barrel by using the energy generated by an explosion or burning substance or any device readily convertible to that use. Firearm does not include a firearm that may have, as an integral part, a folding knife blade or other characteristics of weapons made illegal by this chapter and that is:(A) an antique or curio firearm manufactured before 1899; or(B) a replica of an antique or curio firearm manufactured before 1899, but only if the replica does not use rim fire or center fire ammunition.
So even as a felon, you can be in possession of a C&B rifle or handgun as it IS NOT a firearm by the penal code's definition, you are even allowed under federal statute by the way the .Gov defines a firearm, "Any weapon (including a starter gun) which will expel a projectile by means of an explosive or is designed or may be readily converted to do so. This includes the frame or receiver of any such weapon, any firearm muffler or silencer or any destructive device.
A “destructive device” includes any explosive, incendiary or poison gas --- (i)bomb; (ii) grenade or (iii) similar device, or any combination of parts designed or intended to be converted into a destructive device, or from which a destructive device may be readily
assembled. Does not include black powder or antique type firearms. 18 USC §921(3).