Our set is almost certainly the one depicted in the archives at the Museum of Applied Arts in Vienna, photo volume WWF 95-157-2.
consisting of: teapot, creamer, covered sugar bowl, sugar tongs, rum flacon, tray
The same set, however without rum flacon, is part of the collection of the Museum of Applied Arts in Vienna, inv. no. WI 1115/1912, and was shown in 2003 in the exhibition "Yearning for Beauty, 100 years Wiener Werkstätte" at the MAK.