Claire,
I think you may have a similar problem that I had with Lewes. My gg grandparents live in a village outside Lewes, but the birth details of the children were often shown as Lewes.
Try some of the nearby villages (Barcombe, Ringmer, Cooksbridge, Kingston etc), or even Cliffe (it is today Lewes, but was very much independent until the 1880s).
Hope this is of use
Rod