I'm not familiar with the blade you have, but there are basically two types of serrated blade out there. One has pointed little teeth like a shark, and the other has small scallops ground out of the edge. The toothy ones need a suitably shaped hone to fit into them in order to make a proper job of sharpening them and the scalloped edges ideally need a small circular or conical hone. Whichever type you have it's possible that you have blunted not only the tips of the teeth but the edges of them too as tyres tend to have wire in them which your blade will have tried to bite through. The wire will have got into the serrations, hitting the edges.
If it's not too blunt a loaded cord or shoelace might do for the scalloped type edge, but getting wet and dry to bend around even a thin wedge in a tight enough angle to get into the toothy type of blade might be prove impossible.
Spamels suggestion of working from the flat side of the blade could be the best way to approach the problem, followed by stropping the flat side on a flat strop and the toothed/scalloped side with a loaded cord of some kind, carefully working it through each tooth or scallop in turn. If your serratons are really chewed up, as Spamel says, Good luck with it.