https://www.realla.co.uk/details/14516205
http://www.edinphoto.org.uk/1_edin/1_edinburgh_history_-_recollections_entertainment_clubs_and_discos.htm#73_eric_gold
She told me that there was a Paddy Reilly who was a partner of Peter Williamson in the Royal Chimes Casino in Royal Circus Place, but only that casino.
May fill in more gaps.