Actually, the one I have is one of the most common "household" models produced by the Edison Phonograph Company. The "external" horn types which are identified by a roman numeral are much more rare and valuable.
I have 7 cylinders. They range in price from between $10 and $20 dollars each. I have seen them up to and over $1,000 depending on their content, rarity, and age.
The Edison Museum down here in SW Florida has over 200 Edison Phonographs and several hundred records. Many are so rare and valuable, I can't even get near them...
Bryan P. Holland, MCP
NEMA - Codes & Standards