I'm not the expert on anvil ID's but my opinion is if it has good rebound and is in good shape the name on the side doesn't matter. It would help tho if you could move the anvil into better light and get it off of it's side, I had to turn my monitor 90* to the right to see the first picture.
Also, a picture of the waist with the horn pointing to your right would help, most makers put their identification marks to this side. Take one of your smaller hammers and check the rebound, do this on the entire face, if it is good BUY IT!
From the second picture it could be a Hay Budden but that is strickly a guess. What's the person asking for it if you don't mind my asking?