I don't know much about 4711 perfume bottles however lately I seem to have aquired a few. It's quite hard to date them so I'm putting them mostly in the section 1930 - 1960. German products including 4711 Eau de Cologne were banned from sale in Australia during both world wars - 1914- 1918 and 1939 - 1945. I'm estimating these are mostly from the 1950s.
This is a big bottle, the back of the bottle is embossed 4711. I don't think the stopper is original.