Well 22 months really wasn't that bad; the quantity of things that were going on in my life caused that time to fly by at light speed.
I got a friend to help me get the Rum, and things went pretty well with that. I'd like to give some background information/tips on Caverns of Time, Old Hillsbrad, and getting Rumsey Rum Black Label.
First, the Caverns of Time refers to a large area, almost like a dungeon because of its entrance structure, and is located in the southeast corner of Tanaris, which is southeast of Gadzetgan. Caverns of Time is also basically the most southeastern corner of the entire Kalimdor continent. The Caverns of Time is a collection of instances, which all lead to different point in the past and are categorized by the level of how cataclysmic and destructive they were; this order is close to impertinent and won't help very much.
Before being able to enter the Old Hillsbrad instance, you will need to complete a series of listening/following quests which shouldn't take too long at all. When you find the Caverns of Time entrance, you will see a dragon (friendly though, don't worry; but don't confuse this dragon with the other dragon to the left of the path that leads to the entrance: that one will attack you) that gives you a quest. Accept it, and complete it inside. Going into Caverns of Time, you will go down a winding path and come upon a small community of armorers and food/drink vendors. Ignore them. Keep going straight until you enter a large room with a large dragon in a large circle in the middle of the room (lots of larges).
Situated around this large room are different paths leading away from the center towards various instances. I'm almost positive that most of these are instances (dungeons), but some have other uses, such as Old Hillsbrad. To complete the earlier given quest, you must talk to an NPC standing to the right of the dragon. This NPC is with another one and is what appears to be summoning, while standing in a blue void on the ground. Turn in that quest and receive the next. This quest requires you to follow an NPC who tells you all about Caverns of Time and its instances. If you actually read what it is saying, it can be very helpful and somewhat awesome. Follow it around and then complete that quest by turning it in to the same NPC you did the other one.
The Old Hillsbrad instance is, if looking at the large room and the different paths leading away to the instances from a bird's-eye-viewpoint, located northeast of the center of the large room with the dragon. If you can see the blue void on the ground to the right of the large dragon (where you turned in the quests), go to it, and go forward (north) and right a little bit and you should find a path with a city structure that leads to the Old Hillsbrad instance!
The Old Hillsbrad instance refers to, literally, Old Hillsbrad. When you enter that instance, you are ported to what looks just like Hillsbrad Foothills, and it is Hillsbrad Foothills, just a lot earlier in time. Head straight out of the instance and you will find your destination: Old Southshore. It looks almost exactly like what it does today, and the Inn should be easy to locate. Walk into the Inn, talk to the Innkeeper, and buy some Rumsey Rum Black Label! Don't be stingy or try to conserve gold for it is very cheap. I stocked up my bags and spent about 2g total.
I really hope this guide helps because I know how frustrating it can be to try and track it down by yourself. I tried to be as specific as possible, and I have only gone there once, so PLEASE post here any suggestions/tips/edits you have about the above guide.
Thanks!