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Dan is right, but just to flesh out the idea a bit more, here are some pictures that might help. This is a drawing from Worksaver hitch - an aftermarket hitch. The two lower arms bolt to the normal hitch and the triangulated device midway up bolts to the axle. The top two arms bolt on the rockshaft - which are the two square pieces sticking out on either side of the bottom of the battery box / seat. 
Here's a picture of another aftermarket hitch, from Saginaw. It installs basically the same way as the Worksaver.
If your hitch hitch has two long toplink pieces that are joined by a right angle piece, it may well be an original 800, 800a or 801 hitch. You can get OMA48555, which is the Operator's Manual for both the 800 hitch and the 800A hitch, or OMA12755A for the 801. Parts Catalog for all hitches is PC397(01APR66). Call 1 (800) 522-7448 (with credit card in hand) to order these manuals.
Also, if you move the power trol lever back and forth, and do not see the rockshaft turn - you'll need the proper plugs in the rear hydraulic outlets. They may be sitting in a holder on the left rear of the tractor, but if not; you can still get them from JD dealers. The owners manual for your 60 will tell you which plugs, and how to install them. Good luck with the project.
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