have you tried a known good cable on the port in the meeting room? i kind of got a little confused with your port switching. sorry. it seems like you didn't isolate the cable as not the problem. you took cable A, which was connected in the meeting room and wouldn't work, physically walked over to your switch and plugged cable A into a known good port. it worked - then, yes, there is no problem with the cable. second, you took cable B, which was originally in the known good port on the switch, and moved it to a different port. cable B, which worked before the switch, now is no good for a connection.
if i understand that correctly, then you have a switch problem. if someone didn't mess around with your switches configuration and disable switches, or set up vlans so one port could not find your internal gateway, then you have a bad switchport.
first, make sure no one did mess with your switch. then, contact the manufacturer to find out how you can run diagnostics on the port. if that doesn't work, see if it's still under warranty, because i don't know any way to fix a particular switch port. maybe this is going out on a limb, but doubt there's anyone aside from the manufacturer of the switch who can do that. if under warranty, send the switch back for maintenance/repair.
if that's not a possibility, just ignore the port, and mark it as defective by putting in an empty rj-45 connector that taped up or something so everyone knows it's bad. and if that's no good, buy a new switch.
curiosity, what brand is it? if it's a cisco, then you could just run some commands in enable mode that will tell you if someone added the port to a vlan or if something else is amiss.