First of all, what is Texas law on carriage of handguns and longguns openly?
State Constitution Article I, Section 23
Every citizen shall have the right to keep and bear arms in the lawful defense of himself or the State; but the Legislature shall have power, by law, to regulate the wearing of arms, with a view to prevent crime.
Sec. 46.02. UNLAWFUL CARRYING WEAPONS. (a) A person commits an offense if the person intentionally, knowingly, or recklessly carries on or about his or her person
a handgun, illegal knife, or club if the person is not:
Sec. 42.01. DISORDERLY CONDUCT. (a) A person commits an offense if he intentionally or knowingly:
(8 ) displays a firearm or other deadly weapon in a public place in a manner calculated to alarm;
That's all of it.