the Romans had names for many different places they colognised. for example London was called Londinium, tempore romane The Romans did have names for all their territories. Italy on the whole, was called Italia. However the various areas in Italy also had their place names, such as Latinum, Canpania, Picenum, etc.
If providence is a misspelling of province, the first Roman provinces were Hispania Citerior (Nearer Hispania, roughly modern Catalonia) and Hispania Citerior (Further Hispania, southern Spain). Both were established in 197 BC.
Spain and Portugal
Spain got its name by the Roman of the Iberian Peninsula which is now modern Portugal, Andorra, Gibraltar, Spain and some small parts of southern France.Romans called this land Hispania, which is an adaptation from Hispanía, a greek name than means "land of rabbits". This name was used by Artemidoro de Éfeso ( I before C.), author of the most important ancient map describing the Roman Hispania.
The name derives from the Roman name Hispania know about 218 BC
The late Romans called it Hispania.
The Latin name for Spain is Hispania. It was adapted by Latin-speaking Romans.
During the late Republic they were called Hispania Ulterior and Hispania Citerior. During the Empire they were called Hispania Taraconesis and Hispania Baetica.
Hispania Ulterior was created in 197.
Hispania Carthaginensis was created in 298.
Hispania Citerior was created in 197.
Originally they were Hispania Citerior and Hispania Ulterior (nearer and further Spain) then the provinces of Hispania Tarraconensis, Hispania Baetica (mostly Andalusia) and Hispania Lusitana (Portugalsouth of the Douro river, Extremadura and a small part of Salamanca) were fomed.