When you are born in England and you move permanently to the U.S., this is an example of a situation where you emigrate.
intransitive verb-·grat·ed, -·grat·ing
Origin of emigratefrom 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 ēmigrāre ēmigrāt- ē-, ex- ex- migrāre to move ; see mei-1 in Indo-European roots.
(third-person singular simple present emigrates, present participle emigrating, simple past and past participle emigrated)