In your car yes.
That was the original topic of this thread.
The debate arises because TX law requires a very
specific sign to exclude CHL holders from an otherwise public area, and that sign (the Section 30.06 notice) seems to implicitly allow non-licensed persons to enter a private parking lot with a concealed handgun in his/her vehicle
- an act that is generally legal. (If the person were to exit
the vehicle carrying a concealed handgun, that is a whole 'nother ball of wax, and one with Not Good legal consequences for the person.
Non-licensed CCW outside of a vehicle
is clearly illegal in most public places in TX except under specific circumstances. Refer to the discussion of the "directly en route" clause in my earlier posts.