That was not the “first” location.
You talking about Waffle House? That was the first location where Chik-Fil-A sandwiches were sold.
Wikipedia says that the Greenbriar Mall was the site of the first freestanding Chick-fil-A location.
The first Chik-fil-A was the Dwarf Grill (now the Dwarf House),
a restaurant opened by S. Truett Cathy, in 1946.
The restaurant is located in Hapeville, Georgia, a suburb of Atlanta,
near the location of the now-demolished Ford Atlanta Assembly Plant,
for many years a source of many of the restaurant’s patrons.
The restaurant in Greenbriar Mall didn’t open until 1967.