Everyone knows, that Buddha was born in what is now modern-day Nepal.
Nobody disputes that. Buddha was from Nepal, and he left a great legacy for them.
Siddhārtha Gautama born in Kapilavastu which is in modern day Nepal
Buddha or "enlightened one" gained enlightenment in what is now Patna, Bihar.
And I thought you said India was different princely states? Kapilavastu as also a kingdom. The name "Nepal" wasn't in existence. However, the name India was used before then ...
India is the most widely used name (internationally and locally) for the Republic of India.
The English term is from Greek Ἰνδία (Indía), via Latin India. Iindía in Byzantine (Koine Greek) ethnography denotes the region beyond the Indus (Ἰνδός
river, since Herodotus (5th century BC) ἡ Ἰνδική χώρη, hē Indikē chōrē; "Indian land", Ἰνδός, Indos, "an Indian", from Avestan Hinduš (referring to Sindh, and listed as a conquered territory by Darius I in the Persepolis terrace inscription). The name is derived ultimately from Sindhu, the Sanskrit name of the river, but also meaning "river" generically. Latin India is used by Lucian (2nd century).
The name India was known in Old English, and was used in King Alfred's translation of Orosius. In Middle English, the name was, under French influence, replaced by Ynde or Inde, which entered Early Modern English as Indie. The name India then came back to English usage from the 17th century onwards, and may be due to the influence of Latin, or Spanish or Portuguese.
Sanskrit indu "drop (of Soma)", also a term for the Moon, is unrelated, but has sometimes been erroneously connected, listed by, among others, Colonel James Todd in his Annals of Rajputana. Todd describes ancient India as under control of tribes claiming descent from the Moon, or "Indu" (referring to Chandravanshi Rajputs)