Not to hijack a thread, but more history behind that tidbit....
The Southwest District was probably founded for the primary reason of allowing its member schools to compete for what was then the Division 1 state championship. Although designation as champion was still a highly arbitrary process, there were some standards established in the mid 1950s that included a requirement to play a minimum number of games against other Division 1 schools. For travel and scheduling purposes it made sense for the original members to band together and form the SWD to help meet that requirement. Graham, Grundy, Richlands, Tazewell, and Virginia High were among the founding members.
The Western District was formed for similar reasons and mostly included schools from Roanoke and Lynchburg. Since the two areas were still pretty far removed from one another and neither district had enough to fill out a full schedule on their own, there was frequent "cross scheduling" between the SWD and Western District schools throughout the 1960s who were serious about challenging for state honors. Grundy played Glass pretty consistently. Tazewell and Graham both played Jefferson pretty regularly. Richlands played William Fleming and Patrick Henry.
Virginia High started scheduling Glass and/or Fleming around 1965 as the standards apparently became a bit more restrictive. Around that time it appears that it became common for the champions of the SWD and the Western District to play each other at the conclusion of the regular season. Although if one of those teams were undefeated (as was the case with Andrew Lewis in 1966) then a game would be arranged with one of the schools further east to decide the state championship instead.