Look up "Aviation Heritage Lincolnshire" on Google. They work for the Council and do an excellent job coordinating many aviation museums and Heritage Centres in the Lincolnshire area.
I will of course recommend the RAF Waddington Heritage Centre although this is closed at the moment for re-wiring: we should be back on line for Easter but we are in the hands of MOD contractors........ Note that being on an operational airfield means that you have to book first!
In the meantime, go to the Lincolnshire Aviation Heritage Centre at East Kirkby to visit Just Jane.