I'm not sure if you're experiencing the same problem I had with my Elan II or not, simply because your solution is to press the shutter again in order to force it to wind on to the next frame. With mine, I simply switched it off and then on again. As it turns out, the rather expensive Fuji battery I bought for it wasn't quite the fit it should have been. I already had a bit of foil in there to ensure the contacts met the battery properly, but in the end it just wasn't enough to avoid the problem all together. Oddly, the best fit for the camera I've found is a brand I've never heard of: Vattnic - half the price of the Fuji battery. Perfect fit and no more having to fiddle around restarting the camera every other shot.
I don't know if the same thing's going on with your camera... but I hope it's just as easy a fix.