Quoting from Wikipedia
Aanya or Anya is an Indian name that means inexhaustible, limitless and resurrection. It is of Sanskrit origin.
Aanya or Anya in Hebrew means favoured by God.
Anya (Аня) is a Russian diminutive of Anna.
Ania is the spelling in Polish, which is also a diminutive of Anna.
The spelling Anja is common in Croatian, Norwegian, Danish, German, Swedish, Finnish, Dutch, Afrikaans, Slovenian, Macedonian, Montenegrin, Bosnian, Serbian and Kurdish.
Anya is sometimes used as an anglicisation of the Irish name Áine
Anya is an old Kurdish name. It means "strength" or "power".
Anya is a Hungarian word for "mother".
Anya is a Nigerian Igbo name, and also word for "eye."
Anya (ⴰⵏⵢⴰ) is an Amazigh/Berber name. It means "rhythm" or "melody" in Berber languages
So there are 6 Anya is a x name. And for Irish it says its sometimes used
I really do not think you can claim Anya as Irish unless the parents specifically says they used that spelling for Aine
To me its Russian