The name of the gulf located east of Texas west of Florida and north of southern Mexico is The Gulf of Mexico
There is no Gulf possible between the regions as you state them - Mexico is to the west of Florida and therefor there can not be a Gulf WEST of Florida AND north and southern Mexico. Your question makes no sense and thus can not be answered.
The Gulf of Mexico.
Gulf of Mexico
California, Arizona, New Mexico, and Texas border Mexico. Texas, Louisiana, Mississippi, Alabama, and Florida border the Gulf of Mexico.
Gulf of Mexico
Several US states touch the Gulf: Texas, Louisiana, Mississippi, Alabama, and Florida.
Gulf of Mexico
The Gulf of Mexico is off the coast of the southern US. It extends from Florida to Texas, and down to Mexico and Cuba.
The Chihuahuan Desert covers parts of Texas, New Mexico and Arizona as well as a huge portion of central Mexico.
The Gulf of Mexico touches several southern United States. These include Florida, Alabama, Mississippi, Louisiana and Texas. It also borders all of eastern Mexico.
Texas is located in the South Central United States, and is bordered by Mexico to the south, New Mexico to the west, Oklahoma to the north, Arkansas to the northeast, and Louisiana to the east.On the southern boarder of south central United States on the Gulf Of Mexico. Boarders Mexico.
It is the southern border for Texas; conversely, it is the northern border for Mexico.