Do you have a note of authenticity? If so it could be worth a pretty penny. Just a quick ebay search found what appears to be a 1997 team ball with Peyton's signature going for $3500.
Rare Tennessee Volunteers Peyton Manning Autographed Football TEAM Signed $$$$$$ | eBay. I am not going to lie, that seems a bit steep and I think the ebay seller is hoping for that Jimmy Haslam type collector who could care less about cost. Since that is the national championship one it is going to be highly desirable. I see some of the coaches names but would look specifically for the big time players from that year. Tee Martin, Travis Henry, Peerless Price, Cedrick Wilson, etc. That would add value. You guys have some serious money up there in the tri-cities though so maybe some Eastman executive will shell out some serious change for it but it might be worth listing online too just to see what kind of offers you get.