When you are born in England and you move permanently to the U.S., this is an example of a situation where you emigrate.
Origin of emigrate; from Classical Latin emigratus, past participle of emigrare, to move away ; from e-, out + migrare, to move, migrate
intransitive verbem·i·grat·ed, em·i·grat·ing, em·i·grates
Origin of emigrateLatin &emacron;migrare, &emacron;migrat- : &emacron;-, ex-, ex- + migrare, to move; see mei-1 in Indo-European roots.
(third-person singular simple present emigrates, present participle emigrating, simple past and past participle emigrated)