Those are prehistoric people; I don't think much is known about any language they may have had. From Wikipedia: "Neanderthals made advanced tools, probably had a language (the nature of which is debated and likely unknowable) and lived in complex social groups..."
Tamil and Telugu belong to the Dravidian language family.
Neanderthals belong to species neanderthalensis.
Most European languages belong to the Indo-European language family.
Vietnamese belongs to the Austroasiatic language family.
Sanskrit belongs to the Indo-European language family.
French is a Romance Language.
They are all members of the Centum branch of the Indo-European language family.
English and Italian both belong to the Indo-European language family. More specifically, Italian is considered a Romance language while English is Germantic.
India
Georgian belongs to the Caucasian family of languages.
The English language belongs to the Germanic language family, which is a branch of the Indo-European language family. Other languages in the Germanic family include German, Dutch, and Swedish.
Chinese