Why are you asking on what HILL? The woman does not sit on just One Hill, but on the 7 Hills, otherwise known as ROME.
Prophecy Fulfilled.
Tradition holds that the seven hills were first occupied by small settlements and not grouped or recognized as a city called Rome.
The denizens of the seven hills began to participate in a series of religious games, which started to bond the groups. The city of Rome, thus, came into being as these separate settlements acted as a group, draining the marshy valleys between them and turning them into markets and fora.
The Seven Hills of Rome east of the river Tiber form the geographical heart of Rome, within the walls of the ancient city.
The seven hills are:
Aventine Hill (Aventinus)
Caelian Hill (Caelius)
Capitoline Hill (Capitolinus)
Esquiline Hill (Esquilinus)
Palatine Hill (Palatinus)
Quirinal Hill (Quirinalis)
Viminal Hill (Viminalis)
The original city was held by tradition to have been founded by Romulus on the Palatine Hill.
The seven hills of early Rome – the Cermalus, Palatium, and Velia (the three peaks of the Palatine Hill), the Cispius, Fagutalis, and Oppius (the three peaks of the Esquiline Hill), and the Sucusa – figured prominently in Roman mythology, religion, and politics.[clarification needed]