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A coot it is. ISpot does ask that people not upload pictures of nests (see http://www.ispot.org.uk/birds). A bit silly in this case perhaps (especially since there is at least one Coot's nest in that park on the side of a path about 1 inch from hoards of people) but worth bearing in mind.
Thanks, David. I'm sure that I must have read that some time, but forgotten. As you say, a bit silly in this case, and I'm not in the habit of searching birds out, so it's unlikely I'd have snapped a bird in its nest again!
Lat/Lng: 51.5024, -0.1343
OS grid ref: TQ295798