I've taken up Walter's suggestion to begin reading Everett Wesley Hall's book on-line, pending a decision to obtain a hard copy from Amazon. I've found it quite interesting, as Walter suggested, though partly because of various synchronicities I've found with earlier highly energized debates some of us have participated in on other lists. Interestingly and in light of a longstanding argument on this and other sites, Hall, early on in his book, Our Knowledge of Fact and Value, uses "refers" precisely as I have often done, i.e., to pick out what one has in mind, rather than what actually is the case.

He writes:

A cognitive verb with a substantival clause as objective complement may be taken, then, to refer to an act whose object is a fact or a 'non-fact,' that is, a fact that does not obtain. (page 19, chapter 2)

Here he uses "refers" precisely as we do in ordinary language, and as I had done when I wrote, to the consternation of some of my interlocutors, things like 'a referent is what I have in mind when I make a referring statement, i.e., it's that to which I am referring by making the statement, gesture, etc., and can be understood based on my description of what I have in mind.' . . .