I have only been inside the Cosmosphere – https://cosmo.org/ (official website) in Hutchinson, Reno County, Kansas once several years ago. You can see some additional information on Wikipedia: https://en.wikipedia.org/wiki/Cosmosphere.
General list of attractions:
Notable Items on display:
Restored World War II German V-1 flying bomb missile (authentic)
Restored World War II German V-2 rocket (authentic)
Section of the Berlin Wall – last section removed (authentic)
Russia / Soviet Union / USSR
Sputnik 1 (flight-ready backup) 
Apollo-Soyuz Test Project Craft (joint venture with USA)
Vostok space capsule (competitor against Mercury program)
Voskhod 2 space capsule (competitor against Gemini program)
Prototype and flown Russian space suits
Lockheed SR-71 Blackbird reconnaissance plane (flown)
North American X-15 rocket engine (flown)
Replica of the Bell X-1 Glamorous Glennis, used in the filming of The Right Stuff movie
Engine from Bell X-1 Glamorous Glennis, pilot Chuck Yeager (flown)
Mercury space program
Liberty Bell 7 Mercury spacecraft, recovered from the bottom of the Atlantic Ocean. It is the only flown spacecraft owned by an entity other than NASA or Smithsonian (owned by Cosmosphere).
Mercury-Redstone Launch Vehicle rocket (authentic) (standing vertical outdoors)
Gemini space program
Gemini X space capsule (flown)
Titan II rocket used in the Gemini program (authentic) (standing vertical outdoors)
Apollo space program
Apollo 13 command module Odyssey (flown)
Lunar Roving Vehicle (full-scale replica)
Lunar Module (full-scale replica)
Apollo White Room
Moon rock collected during Apollo 11
Space Shuttle space program
Full-scale replica of Space Shuttle Endeavour (left side only)
Piece of tile from Space Shuttle Columbia disaster (flown)
Various space programs
Vanguard 1 satellite (flight-ready backup)
Prototype and flown American space suits
In general, most of the exhibits and programs have limited genealogical value. Unless your family member or ancestor is documented somewhere in the museum or one of its educational programs.
You can find a map at https://cosmo.org/visit/museum-maps. It’s a pretty neat place to visit. They offer a lot of things to do. I would like more time to visit on my next trip to the Cosmosphere.
I did an updated post about Cosmosphere, Hutchinson – Kansas Tuesdays July 16, 2019.