. Dalmeny is in West Lothian. Good evening Mary et al, Correction Dalmeny is in the City of Edinburgh and has been since the boundary re-organisation of 1975. It is subject to the by laws of the City and the householders pay their council tax to the City of Edinburgh Council. Previously Dalmeny was in Linlithgowshire and then West Lothian. Regards. John. John D. Stevenson, Trinity Research Services, Scottish Maritime History Research. Edinburgh.