Re: 1971 60 hp evinrude high speed problem
Use an inductive timing light to look for lack of spark or a miss in one of your cylinders. If that indicates that all three cylinders are firing, I would suspect junk fouling a high speed orifice in one of the carbs. To determine if that is true, try removing the front cover from the air silencer and then run the motor. You may be able to actually see the lack of spray, or intermittant spray, into the throat of the offending carb.
If you can not run the engine in a barrel, don't do these tests on a hose. You will need to advance the throttle a bit and need some resistence on the prop to prevent "overreving." I usually do them while underway with some help from someone else to drive the boat. Once caution, however, is to be careful of running an engine that is not getting sufficient fuel to a cylinder, as that lack of fuel also means a lack of lubrication.
Given the length of time that your motor has not been run, my guess is that it is in need of a carburetor rebuild, which should deal with any fouling of high and low speed jets/orifices.