Final answer:
The story that features an unfaithful wife set in a community backdrop similar to a mining town is likely found in "Riders of the Purple Sage" by Zane Grey.
Step-by-step explanation:
The question seems to be referring to a story that features an unfaithful wife and is set in a mining town. One narrative that stands out with these elements is the story found in the novel "Riders of the Purple Sage" by Zane Grey. In this novel, Milly Erne is perceived as an unfaithful woman who runs away with a proselytizing Mormon elder. The subplot involving Milly unfolds in a remote Utah town which, while not a mining town, has the same isolated and rural sense of a special community backdrop usually found in mining town settings. The unfaithfulness and the setting play a crucial role in the character development and the progression of the narrative within the broader context of the American West.