There are 3 routes which top out at the cave at Eagles Head. Pumping Peacock (which is to the left of Power Pigeon), Power Pigeon and Alcatraz which is to the right of Power Pigeon. It sounds like you abed of Alcatraz, cos if you abed off these chains you would end up way to the right of the next ab chains for Power Pigeon and will bring you to the huge drop off you mentioned.
Nevertheless, I would suggest getting a copy of Gavins RD (link: http://www.climbing.co.za/Order_EagleMountain.asp
), if you're planning to do more climbing at Eagles/Everest. It's well worth it as it it is very comprehensive and may have helped avert the epic you had.
Have fun ....climb safe.
(As a matter of interest....is it Gred Devine?)