I have a vintage 3 lamp light fitting which is fitted with unearthed metal lamp holders and i'd like to rewire it The problem i'm finding is that I cannot find 3 core cable narrow enough to go through the central brass suspension tube. The present wiring consists of six individual cables(2 to each lamp) each of which appear to only have single insulation I don't think as things are that it will be possible to run any extra cabling to earth the actual lampholders themselves and was wondering if it would be acceptable to fit an earthing tab to the main brass tube where it screws into the ceiling hook (thus earthing the complete fitting in one go ) and connect the earth that way, There would appear to be continuity from that point through to the lamp holders. I'd appreciate any advice on this but not too technical please!!