Yeah, I'm starting to think that the 1920 census isn't my Harry. From what you showed me, that Harry's middle initial is "L". Unless someone misheard "Earl" as "L", it could be wrong.
Also, I mentioned Harry was married to Ruth, and in his obituary (which I forgot to mention), Ruth is mentioned as his wife, with no mention of Stella.
The only thing that makes me wonder is the father of the Harry you mentioned: Michael R. Byrne. My uncle's name is Michael, so it makes me wonder if somehow this is correct and maybe my uncle was named after Harry's father. (If Michael's middle name is Richard, that would be too strange to be a coincidence!)
I'll try to pry my father for more information and see if he recalls a "Stella". He also once mentioned that Richard Earl Byrne Sr. (son of Harry) was named after an uncle, but that could just be speculation. Either way, thanks for putting so much effort into helping me! I'm glad the members here at Ancestry are so friendly.