Richard-I missed out on this last night, but got a chance to look at Simpson's book this morning. It says that Audie Murphy spent most of 1940 working on a farm one mile north of Floyd, for Mr. Haney Lee. He then moved to Greenville in the fall (possibly coinciding with his father leaving his family for good in November 1940) and worked in a grocery store/gas station belonging to Snow Warren (Lee's brother in law), before working for Jake Bowen.
Assuming the Census reached Floyd at about the same time that it reached Greenville, he would most likely have been a member of the Lees' household in or near Floyd at the time, I think.
Edit: Floyd seems to be included in Census Record ED 116-20, but I didn't see the Haney Lee family in there.
Christie, good news and bad news. First the good news: I may have located the Haney Lee census record. The one I spotted is in ED 116-17, the third page (page 2A) in the series.
I looked in Simpson at the reference to the Haney Lee's farm, I think on page 18, and it stated it was about a mile north of Floyd. So based on the census map, I thought it might be in the set ED 116-17. When I reviewed it, the top 4 lines of the page are the ones of interest. The top line shows the name written as "Haney Lee" with wife Vergie and sons Harold (15) and Bobby (7). The listing is easy to miss because "Lee" should have been written followed by the first name "Haney". I guess the census worker thought Haney was the last name and assumed Lee was the first... an understandable assumption.
Anyway, I couldn't cross-reference in Simpson any of the first names of the rest of the family. Maybe you can. I am convinced this record is the correct one.
The bad news? No listing for Audie. I am uploading this record to the 1940's Library folder. Let me know if you can confirm or disagree that the record is the correct one for Haney Lee.