Where does “Assyro-Babylonia” come from?

Assyro-Babylonia (English) comes from English Babylonia, from Latin Babylōnia, from Ancient Greek Βαβυλωνία, from Ancient Greek -ῐ́ᾱ, from Proto-Indo-European -íh₂, from Proto-Indo-European -h₂ — Creates collective nouns, which refer to groups...

Assyro-Babylonia (English): Assyria and Babylonia; Mesopotamia

Definitions

Assyria and Babylonia; Mesopotamia

Ancestry of “Assyro-Babylonia”, step by step

Step	Language	Word	Meaning
1	English	Babylonia	—
2	Latin	Babylōnia	—
3	Ancient Greek	Βαβυλωνία	—
4	Ancient Greek	-ῐ́ᾱ	{{l\|en\|-ia}}; "suffix forming abstract feminine...
5	Proto-Indo-European	-íh₂	—
6	Proto-Indo-European	-h₂	Creates collective nouns, which refer to groups...

Every word from Proto-Indo-European -h₂ →Every word from Ancient Greek -ῐ́ᾱ →Every word from Ancient Greek Βαβυλωνία →