These compacts are made in England and LSM is stamped in 3 'diamonds' along the inside edge. So far, it is proving difficult to establish the manufacturer, so any help would be most welcome. Please email me if you have any information:

This compact has a butterfly design on a pink enamel background. It is a slim, neat compact, but the puff is marked 'Meritor'. The mirror has been replaced. A gift from a friend.
This is a beautiful case in turquoise enamel with a design of gold leaves. The puff is marked LSM. This was a gift from my son and was bought at Alfie's Market in London.