There was a little mouse family that lived on a farm, it was a novel though not a picture book, and they lived in an old tin can? And the farmer plowed the field with a machine for the first time and there was a tense moment where they almost lost a baby mouse
Lost Classics of Teen Lit: Name That Book! 
It’s a little different from the description, but this might be Mrs. Frisby and the Rats of NIMH by Robert C. O’Brien.
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Mrs Frisby and the Rats of NIMH?
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Came here to say it was probably Mrs. Frisby and the Rats of NIMH.
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