The settlers from England / Ireland go by ship to America / the New World. Many died on the ship. At some point they came to America and realized that there are Indian tribes there. The settlers stole provisions from the Indians.
The series took place around 1550-1600
I think I know what you're talking about, but I'm not sure about the title.
I think it was called: The Outlander
Your description sounds a tiny bit like…
https://www.imdb.com/...tt4686698/
with Jason Momoa.