'off the stone' equivalent in American English

I have been re-reading Jeffrey Archer's The Fourth Estate, and saw this sentence:

..he would cycle to the offices of the Courier and watch the first edition come off the stone, returning to school...

Wikipedia says that in the United Kingdom, the actual phrase off stone is "the moment at which an edition of a newspaper is finalized for printing and no further changes can be made."

In my experience at various upstate NY dailies and periodicals, we used to say "put the edition to bed".

Is this the same, and maybe a misuse of the phrase?

In the case of the quoted context, I think we used to say 'come hot off the press'.*

*according to some etymologies, that phrase comes from the days of using lead lino-type, but off-set printed newspapers are also hot to the touch when they come off the press...

...which is one of the reasons that in an emergency birth, it has sometimes been recommended to use a fresh newspaper as they are usually quite sterile.

Yes, Hot off the presses is a modern equivalent.

Lithographs and posters used to be a means of mass communication, simple and quite direct before fine text. The image and large text would be inked onto the stone as in Litho-graph. In their case "Hot of the presses" where the image was made was literally "Right off the stone."

Though they are not using that method the expression is likely a holdover from that technology. A retronym in fact.

To clarify, the phrase hot off the press meant the paper had just come through the great mechanical process you may see in an old movie about newspapers and reporters. The press is far behind the rolling bands of paper as they get folded, tied and distributed. They may certainly be very warm indeed. Off the stone would mean as soon as the page literally came off the inked lithograph to be legible for the first time (as a positive print). In either case the meaning is that the printed page is as fresh from the process as possible.

The phrase to put the edition to bed meant the entire edition was finished editing and printing and merely being tucked away, the end of a day's work. The paper going to bed was the industrial entity calling it a night.