Texas is actually an interesting case. Open carry was completely illegal in Texas from 1871 to 2016. Many people think that it was common for Texans to walk about with a six gun on the hip. This is untrue.
The only legal carry of a handgun in Texas was in a vehicle, concealed “on a journey”. The one exception was a police issued permit valid only in that city. Jack Ruby had one for his .38 snubbie that he used to kill Oswald. Of course these were only issued to those with connections.
In 1995, Texas finally after a 10 year fight passed a shall issue concealed carry license (CHL). It was relatively restricted at first. For example you needed a separate training class for semi-auto and revolvers. And Gun Free signs have force of law. Originally a felony.
It was not until 2016 that open carry with a license became legal.
So, contrary to common belief, Delaware has actually had much more liberal gun laws at least until recently and of course open carry has always been legal here.