Okay, it might be a bit more complicated than I originally suspected. I am now suspecting that William S. Heath may have been the cousin of William P. Heath, Jr. Perhaps 1936 was the year he first began working for Coca-Cola; I checked the SSDI, and found that William S. Heath, resident of Sumter, South Carolina (where the Carolina Coca-Cola Bottling Co. plant was located) was born on December 7, 1914 and died on August 6, 1999. The death date fits well with what we know, and the birth date would definitely rule him out as being the son of William P. Heath. This would also better fit the bottle caption, giving 1996 as the year of retirement after "60 years". So I went back to the 1930 census and found him rather easily. He is listed as "William Heath," 15 years old (which points to a birth in 1914-1915), living at 428 Main Street, Sumter, Sumter County, South Carolina. His father was Alfred T. Heath, 48 years old, who was originally born in Georgia (just as William P. Heath, Jr. was). His mother was Anne Heath, age 46 (that is, born around 1883-1884). What was the occupation of Alfred T. Heath? "President -- Coca Cola", the census says.
Okay, so there's gotta be a connection here. The family also had two other sons: Alfred T. Heath, Jr., and Quintard Heath, who were four and three years older than William Heath respectively. The entire family was from Georgia. And this now takes me back to the article in the February 28th, 1906 issue of the Atlanta Constitution newspaper. At the time, William would've only been two years old. The article states:
"Mrs. Mary Taylor and Mr. and Mrs. W. P. Heath, Master William Heath, and Mrs. A. T. Heath have returned from Florida ."
So was Alfred T. Heath the same person as A. T. Heath, husband of Mrs. A. T. Heath (and brother-in-law to Mrs. Mary Taylor?) associated with "Master William Heath" (aka William P. Heath, Jr.)? I suspect so. I think finally we're getting a clear picture at William Heath Jr.'s family connection with Coca-Cola. Now we just need to know more about who Alfred Taylor Heath was.