Based on the discussion in this thread [[https://www.behindthename.com/bb/fact/4918246]] it seems as though this usage is a modern imposition on a much older Welsh name of unknown original meaning. According to one poster (and supported by https://www.babynames.com/name/Lleucu), it's likely this name is a feminine version of the typically-masculine name 'Lleu' meaning 'light' + '-cu' meaning 'dear' in Welsh. [noted -ed]
Cu means dear and beloved in Welsh, and lleu is old Welsh for bright/light, bright and dear would be the translation. It is not really a form of Lucia or Lucy except by coincidental fact of both names being derived from Indo-European languages which share common word origins.