Let's revive the dead topic. Yes.Check the name after talking to Galloway. You'll see that it keeps changing. It can't be Heart of <CHARNAME>.
In my experience (though I am wrong on a daily basis), it's neither Heart of <CHARNAME> (especially since there is none in ID2; unless you mean Player1) or Heart of <Gabber>. Au contrariwise, in my games it's always Heart of <Wielder>, which means it will change name if transferred to another party member - not immediately, but after a little while.
(Although I could conceivably have used the new character as <Gabber> and thus funked my whole scheme up. And that's where me being on wrong on a daily basis enters the equation.)