I'm a little late to this thread, but I can add some information.
Big A Auto Parts was a marketing and brand name (not a franchise) of American Parts System, or APS, a Houston based company. I worked for the Installer's Service Warehouse brand as the Inventory Accounting Manager at the end of APS's existence. I was brought in, along with a few others, to clean up the accounting for this business unit in 1997. I worked there to the end, as part of the wrap-up team.
During the wind-down of operations of APS in 1999, some of the management team found investors to fund the purchase of approximately 1/3 of APS's operations and formed the company Auto Parts Express, or APX for short. APX continued the marketing and branding of Big A Auto Parts. I eventually went to work for APX in the same capacity. APX eventually wound up operations in 2002 and I continued to work there as part of the wrap-up until I needed to have an operation and we ended my employment there at that time.
At one time I knew more of the history behind the Big A brand and marketing system, but alas, it's been 25ish years since working there. I know that APS was at one point part of Gulf+Western, which reflected (no pun intended) the bumper chroming business they owned in the Houston area and later in southern California. Then later it was somehow associated with Wickes, as in Wickes Furniture. I don't remember exactly how that came to be, but my recollection is that it was part of a divestment from a previous ownership.
At the time I joined APS, it was a $1B company with outlets and distribution centers from coast to coast. I visited locations from Glendale, CA to Portland, ME and spent 4 months working in Denver, CO, the one-time corporate office of Installer's Service Warehouse. When I joined, the company owned more than hundres of locations (Big A and ISW), perhaps even over 1,000 across the country, and countless independently owned branding participants in the Big A name. Again, these were not franchises, even though that is how most people would think of them. It was not unheard of for an independent plan participant to change from one system to another (Big A, Carquest, NAPA).
The fall of APS and Big A would make for a great MBA case study. There are stories I heard second-hand that are shocking, but as I don't have first-hand knowledge, I won't repeat them here. APS (Big A and ISW) went from a $1B company to Chapter 11 and eventually winding up operations in two years, selling the bulk of its operations to Carquest, and I beleive Advance Auto Parts. The remainder that weren't closed were sold to APX. The wrap up of APX was less dramatic, and again, I have second-hand information what drove this to occur, so I won't be repeating it here.
It was a great experience for me, but also stressful, given the tenuous nature of the companies. I still have some memorabilia around from Big A. I worked with some truly outstanding people, and some less so, probably like most places.
I believe there are still a few independent Big A operators open around the country, but they are few.