Have a look at this web page.
"In 1925, Ted invented the world’s first alternating current (AC) radio tube that enabled radios to be powered by ordinary household current."
If your radio is indeed this old , it is quite rare . It is too bad the socket was cut off, I believe they were fitted with a light bulb socket type plug , as many houses had electricity but very few appliances yet.
It would be nice to see a picture of it, If you have the ability to take a picture you can upload it here, or if you have difficulty you can email it to me and I will post it for you.
What you have sounds very special as it is one of the first AC powered radios !
A socket like that would be hard to find, but I have seen the type of socket that extends the bulb away from the socket and provides a couple of outlets. I have one of these downstairs as my house which was built in 1924