From what we can find the Shattuck family name is English. You can read all about it here:
https://www.houseofnames.com/Shattuck-family-crest. Of course the ancient origins of a name does not indicate where your own ancestors may have come from, so what we would recommend is that you try to establish a proper paper trail of family documents so that you can tell once and for all where your first emigrating ancestors came from.