Originate = (1) come into existence; take on form or shape: The practice of Sati originated during ancient Ages. (2) to give rise to; initiate: The policy was originated by the previous administration.(3) to create something new: Darwin originated the theory of evolution.
Originate is used in connection with things, ideas, customs etc. (NOT people): No one really knows how the solar system originated.
If you are born in and/or grow up in a particular place, town, country etc., you come from that place: Where does Agneta come from- Sweden or Norway?
Words that enter a language from other languages come from (or are derived from) those languages: The name terrier comes from the Latin word terra meaning the earth.