Another Request for the title of a story

Back in the early seventies I read a story about a time-travel scenario. An American pack-mule borne unit, exercising in the Tennessee mountains, was blasted back to 1864 by an early secret atom bomb test. They marched to Nashville, linked up with the Army of the Cumberland, and blew away Hood’s attack at Franklin with their M-1 fire.

The surviving commanding officer ordered that the men destroy every bit of evidence they were from the future, because he didn’t want to change history. And they did.

(The contemporary narrator and discoverer was explaining that he found the manuscript in a wooden chest which he knew was over a century old from the way the wood was put together.)

Does anyone else remember the story? Does anyone else remember it well enough to remember the title and/or author?

Thanks.
 
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