My records however are probably in a big brown folder, stored miles away, if you've been in hospital you'll know it takes bloody ages anytime these need referred to. If you're (un)lucky they may be electronic and again take ages to refer to.
After graduating I worked in a "library" as you describe. This particular library was on a different site to the A&E unit, so from time to time an urgent request came through which would be found ASAP and then transferred by taxi. They were just about to start digitising the records when I moved onto a graduate level role.
They operated a reasonably sane way of protecting "famous"* records, they kept them in the locked when empty supervisors' office and were then fetched by senior people when needed.
*Famous = the odd minor celeb, the local football team and an (in)famous criminal** living at Her Majesty's pleasure
**You'd have heard of him if you're British; but for obvious reasons I won't name him