I have seen this name Sarah Ann Palmer Gilbert and am also at a loss to find a connection.
However, I have Ann Palmer Gilbert, the daughter of Moses and Jane Charlotte Gilbert (nee Coleman) of Erith. Ann Palmer Gilbert married Samuel Henry Perrin on 9th July 1863. Jane Charlotte Coleman was the daughter of Thomas Coleman and Jane Charlotte (no surname found). Their children were born variously at Rotherhithe, Surrey and at Great Yarmouth, Norfolk. it is possible that Jane Charlotte was born Palmer but I have no proof whatsoever! the Gilberts were a long time Erith family. the connection with Norfolk may come from an association with both the Coleman and the Teasdel families of Great Yarmouth through Moses Gilbert. The Colemans are part of the large Norfolk family that includes the 'Mustard King', and the Teasdels were tradesmen and Shipowners.