Something created but not published before 1978 gets basically the "modern" copyright duration: life of the author plus 70 years, with a caveat that none of these would fall into the public domain until 2003. To encourage publication, if you
did publish a previously-unpublished pre-78 work before 2003, you got a bonus extension of that term until 2048.
This was written before 1978, was not published before then, and not published before 2003 either, so it is protected by copyright for 70 years after Steinbeck's death: he died in 1968, so through 2038.
As to the hypothetical unpublished work that the publisher takes and publishes as their own: with newly-created work nowadays its easy: the work was copyrighted at "fixation," no need to publish or intend to publish. Before 1978, the author had state-level common-law copyright in unpublished works that would have applied.