Murano is an island containing many glassmakers, rather than being the name of a single glassmaker, so there's no such thing, really, as owning 'a Murano'.
I seem to recall that these lamps were produced by Vetreria Vistosi, and were designed by Gino Vistosi in the 1960s - someone with better knowledge of Italian glass may be able to confirm/deny or add further details.