born / borne
Coming into the world versus carried.
Use born for birth: she was born in June, a born teacher. Use borne for carried, endured, or confirmed: the load was borne, she has borne the cost, the claim was borne out. After forms of be in the birth sense, born. After forms of have, and after forms of be when the sense is carried, borne.
Examples
Use He was born in Ohio.
Use The theory was borne out by the test.
Avoid The theory was born out by the test.