My name is ***** ***** I would be happy to help with your magnificent Remington piece.
Can you check the base for a number and any text you might see, such as "Roman Bronze Works" etc. If it's there it will be impressed on the side of the base (not underneath).
Also, do you have any documentation for it? Letters? A bill of sale? Name(s) of previous ownership? All this helps greatly with establishing provenance and credibility to help boost its value.
Sorry Richard, I had to leave the office for a couple of hours.
I'm back now and can give your question my full and prompt attention.
There's a very slight possibility you'll find a number on the underside, but my hunch is that because there's no "Roman Bronze Works" foundry mark on the side that what you have is an unauthorized re-casting. This still has value, but only a fraction of that of castings done in the artist's lifetime (or just after), that are all clearly marked, in limited, and numbered editions.
Let me hear back about the underside, and I'll give you a full appraisal and a value.