Wet a wire brush in the soapy water and scrub the surface of the shears to remove any loose rust from the surface of the metal. Dry off the shears with a clean towel when you are done.
Open the shears by spreading the handles apart. Position the handles of the shears against your stomach. This positions the blades over your leg or across your lap depending on how you position them. Take caution: rusty dull blades are still sharp enough to cut or poke you.
Place the sharpening stone against the beveled portion of the blade and stroke the stone the length of the blade starting at the base of the handle and working your way to the tip. Do this until the metal is shiny and silver again. Usually, two to three strokes is plenty.
Repeat the sharpening process on the beveled edge of the second blade.