I work in the street re-paving industry, d/t I own a street sweeper company. And I can tell you that the grinding (aka "milling" ) they are doing, has probably NOT gone down below the yesteryear "DG" (decomposed granite compaction) layer. It might *look* like native dirt, but it's probably not. Whenever they do grinding (aka milling), they do not need to go deeper than the original compaction DG layer. So odds are, it's sterile.
And besides that, if you're talking 1938 as the origin of the neighborhood/houses, then it's not likely that there were "dirt streets" in the old days anyhow. 1938 is well into the heavy equipment and automobile era of paved roads.