Was it a snipe? Was it a woodcock?

I flushed a bird at the bottom of my garden yesterday. It came from the hedge on the right and flew over the garden, gradually gaining height, heading for Fauna. I assumed it was a snipe given there are so many around but bumped into Jon later who thought it was more likely a woodcock. It came from the side where the next garden is very overgrown with a lot of dense vegetation, patches of mud and standing water. Has any-one seen woodcock around the reserve?

Sue