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.
Gulf of Mexico spans from Texas in the west to Florida in th east.
The Gulf of Mexico.
Gulf of Mexico
Texas, Louisiana, Mississippi, Alabama, and Florida.
The major body of water located east of Florida is the Atlantic Ocean.
Gulf of Mexico
Boston, Massachusetts is located on the East Coast, and Galveston, Texas is located on the Gulf Coast.
Florida is located in the south east of the United States. It is also considered a part of the gulf coast.
To the west of Saudi Arabia is the Red Sea. To the east of Saudi Arabia is the Persian Gulf.
East of Texas and Mexico and south of the southeastern United States