I suspect, for instance, that Bill Gates might not have wanted to begift such a program with the Microsoft name.
2
To give a gift or gifts to; bestow or present with gifts.
They are harangued, bedinnered, begifted,[...]
3
To give as a gift.
Word Origin
From Middle English bigiften (“to entrust”), equivalent to be- + gift. Cognate with Dutch begiften (“to endow”), German begaben (“to endow”), Swedish begåva (“to endow, dower”).