I don't know if it's Texas pride or if it was some idiot (unfortunately i forgot who the idiot/source was) that stated that Texas has the right to have their flag higher than the United States flag just because it used to be a country (you know the story), but does that give Texas a higher status?
It's state flag, it should always fly UNDER the U.S. flag. No exceptions.
I don't know about rights but I feel that it is not reasonable.
The United States Flag Code specifically prohibits flying any flag higher than the flag of the United States. Although the Flag Code only applies to government organizations and you can't be punished for breaking it, it is still the official guideline for the use of the American flag. According to the Flag Code, the proper procedure for displaying the flags of states, organizations, and other lesser entities is to either put them on the same staff below the flag of the United States, or to display them on different staffs with the flag of the United States in a position of honor. International law forbids flying the flag of any country above that of another in a time of peace.