Thanks so much for your plethora of suggestions for things to do in or near Chautauqua. Many respondents requested I share them so here's a list:
Many suggested the usual good ones such as Comedy Center, Lucille Ball Museum, Roger Tory Peterson Museum, and Panama Rocks but some of more unique ones were:
Kinzua Bridge Overlook
Zippo Case Museum
Marilyn Horne Museum
Longpoint State Park
Luensman Overlook
Grape Discovery Center
Amish Trail
Clymer Craft Show
Rails on Trails Mayville
Train ride in Gowanda NY
Barcelona Harbor Beach
Lunch at Stedman Corners
Ashville General Store - great lunches, unusual store.
Jackson Center in Jamestown
Point Gratiot Lighthouse in Dunkirk
Hope you find this helpful.
Saul