There is a slow trend to return to the local name, which has been going on for a long time. In English Livorno is now used, the old English form of Leghorn having become antiquated at least a century ago.
A gradual trend exists to revert to the local name, which has been happening over a long period. Currently, in English, Livorno is used, whereas the old English version of Leghorn has become obsolete at least a century ago.