All I know is that her hair was pink at first.

Luna and Celestia weren’t born alicorns they were both born unicorns, flurry heart was born a alicorn bc cadence was from a different colony than Luna and Celestia.

No she wasn't born an alicorn because and I quote "the birth of an alicorn is past our knowledge"

Also she was born as an alicorn how do I know well if you think about it Flurry Heart was born an alicorn so it’s possible and they were both Luna and Celestia

When she sent Luna to the Moon her hair changed colors from the Elements Of Harmony stones, and from all of the magic force when she sent Luna to the Moon.