While it is likely that you may have had a ride on the Steam Train and a guided tour of the Museum if you have visited Fawley Hill on an open weekend, you may wish to consider visiting on one of the Sunday Steam Days run by the Fawley Museum Society (who run the train too).
Tickets are usually given to clubs and charities in return for a donation to the running of the train etc. but individuals are welcome to come along. Numbers are limited to about 350 on these days so you can be assured of limitless train rides and as much time in the Museum as you wish.
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