This sounds like problem caused by one of two things. Either the blade is being sharpened on too co**** a stone prior to stropping, or it's being sharpened in an uneven manner i.e. too much work on one side of the edge, not enough on the other resulting in a considerable burr building up on one side.
Co****r stones are great for removing steel down to a workable edge, but a finer stone is the tool for finishing off with. I use DMT Diafolds for almost all my knife sharpening. They range from Extra Co**** down to Extra Fine in four stages, and I'll normally only need the Fine and the Extra Fine to re-sharpen a knife even after serious (ab)use. The co****r grits are for regrinding and reprofiling work but are also handy for tools like slashing hooks and the like.
You might start by giving each edge of the blade half a dozen wipes on the stone each side, but you want to finish off by doing one stroke each side a few times to eliminate any burr before stropping.
A leather strop loaded with chrome polish (I use Autosol - comes in a tube like toothpaste) will give a well polished edge more than sharp enough to shave with, but for a truly miror-like finish you cannot beat using a seperate strop loaded with jewellers rouge to finish off with.
Don't forget that the strop will only be removing the tiniest amount of steel. The edge will only end up smooth and shiny if it's pretty close to that before stropping.
Edit to say that the censor seems to dislike the term "co****" so think of **** indicating the letters a, r, s, and e ! I sometimes think these computers are too darned smart for their own good *LOL*