"The Whalebone Parrot" by Darcie Little Badger is a short story freely available online about a family living on a small island with a cat and a parrot. An important theme is that both sisters are "Indian" (Native American) and can speak at least some phrases of a Native language, although they rarely do so as their culture has seemingly been suppressed at least since their childhood.
What language is this? It's never stated openly in the story: they are referred to as "Indians" but no specific tribe is mentioned. Searching the internet for some of the phrases used just led me back to this story as the only search result. But perhaps someone more versed than I in Native American history and culture would be able to recognise the language from the words or contextual clues.