This (the yellowed area below) appears to be the area in question:
Details of two pages, joined together, from the Renie 1941 Atlas of Los Angeles
Note that there was (and still is) a cemetery
a few blocks south. But checking the 1953 Renie atlas (the above is the 1941 edition), also in my collection, I see that there still is
no cemetery in the specific area in question in 1953 (at least, going by the map). The deceased (Earle Hoffman) of the grave marker in the picture died December 14, 1951. In the
LA Times article, the deceased's nephew states that the deceased was buried two days after death at Hillside Memorial Park in Culver City, and that he (nephew) has been visiting the grave "since I was a little kid" (also, nephew's 5-year-old son is buried adjacent).
The questions are: Do the records of Hillside show that Hoffman was disinterred? Is his marker still present at Hillside? Is there a body under the marker in Lawndale? Is there a body at present where the Hillside grave is/was located? When was the residence at the Lawndale location built? Does Lawndale allow burials in people's backyards? How many people can attest that there was at one time a cemetery there, or that they found gravestones there or in the vicinity?
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1952 Aerial. Residences present, no sign of a cemetery.:
HistoricAerials.com