Whether "Gift" is a personal name?

Objections

Objection 1 : It would seem that "Gift" is not a personal name. For every personal name imports a distinction in God. But the name of "Gift" does not import a distinction in God; for Augustine says (De Trin. xv, 19): that "the Holy Ghost is so given as God's Gift, that He also gives Himself as God." Therefore "Gift" is not a personal name.
Objection 2 : Further, no personal name belongs to the divine essence. But the divine essence is the Gift which the Father gives to the Son, as Hilary says (De Trin. ix). Therefore "Gift" is not a personal name.
Objection 3 : Further, according to Damascene (De Fide Orth. iv, 19) there is no subjection nor service in the divine persons. But gift implies a subjection both as regards him to whom it is given, and as regards him by whom it is given. Therefore "Gift" is not a personal name.
Objection 4 : Further, "Gift" imports relation to the creature, and it thus seems to be said of God in time. But personal names are said of God from eternity; as "Father," and "Son." Therefore "Gift" is not a personal name.