Thanks for all the responses.
I've been working with the horn to my tongs (right) side because it just fills right for most things so I guess I'll stay that way.
Reason for the question was that I was getting ready to order a new anvil (from either Old World Anvils or Euroanvils) because my old Vulcan is a piece of crap! I found it in a flea market for cheap cheap. The face of this POS has been chipped all the way around it so there is no real edge/corner, there is also NO flat surface on the face, and the horn has about 3 inches broken off of the end of it. But it has served it's purpose because it has given me something to pound one for a while without costing me much money.
The Euroanvil I was looking at came with a small shelf and I was told that the shelf should be on the opposite side of you from the anvil. I just wanted to make sure that if I ordered one with a shelf, that the shelf would be oriented correclty.....depending on the direction of the horn.
But I have since decided to go with the Old World Anvil two horn classic (with no shelf) since they have them in stock and can ship immediately.....it's in route now!!
From what I read both are good anvils so I don't think I can go wrong.
Thanks again for the input.
Walker