The parade will feature the Jefferson High marching band, school organizations and local clubs, she said.
Annual homecoming parades would be rotated to the different towns throughout the county in upcoming years, she said.
Jefferson High was opened in 1972, merging three smaller high schools in the county.
Scott said an alumni group could have tangible and intangible benefits.
An alumni association could raise money for the athletic boosters, produce a newsletter to keep up with fellow graduates and possibly start a college scholarship, she said.
"If we got the whole county involved with the high school, we could give the many factions of the county a common thread," Scott said.
The alumni association wants to model itself after the Shepherd College Alumni Association.
Homecoming weekends would also be the time when class reunions would be held, she said.
She said the group also plans to form a Hall of Fame to honor Jefferson High graduates who have contributed to the community. The group also would honor teachers who have made a lasting impression on students.
She said it's important to recognize the good work done by the public school system at a time when many people are quick to criticize it.
"Everyone seems so down on the public school system. This is a way to point out those who have done well from the public school system," Scott said.