Sounds familiar
First server in the building (Z8000/Unix v7). TPTB decided that it could be located in a cleaner's cupboard small room next to the lift shaft. Experience gained led to its being rapidly located to the library.
The other computer and lift shaft episode was much, much earlier - the computer was probably an Elliot - from the company where my Dad worked. It had to be located on an upper floor of the building so it was decided to haul it up the lift shaft. The rope failed. According to Dad the man who'd tied it on* fainted which might have run in the family; his daughter was in my class at school and fell off a biology lab stool when "blood" was mentioned.
* For added irony his surname was Crane.