The Morovanian Museum was an establishment on Morovania Minor.
The Fourth Doctor took Leela there to teach her about her ancestors, labelling it "the greatest collection of Earth artefacts in the known universe". They specifically went to see the opening of the Renaissance section but instead found people who believed themselves to be residing on Earth. Leela was particularly interested in the armaments section.
Jephson, the curator, was using Reginald Harcourt, whose knowledge had been stolen, to collect the data of other experts in a bid to know everything. The people were those experts who had had their knowledge assimilated and were then made to assume identities so that they could interact with others and gain more knowledge. The Doctor introduced incorrect information into the data base, causing the whole system to collapse. The experts were returned to their former selves. (AUDIO: The Renaissance Man)