These are reliefs from the Ishtar gate in Babylon, which was constructed by Nebuchadnezzar II in 575 BC and excavated between 1902-1914 (according to Wikipedia):
Other reliefs from the same gate are apparently scattered in museums around the world including Detroit, Sweden and the Louvre.
According to the write-up beside this picture, this "winged genie" was taken from the northwest palace of King Assurnasirhpal II (ca. 883-859 B.C.):
And this is Shalmaneser II (858-824 BC), king of Assyria:
(In case you are wondering, the Shalmaneser mentioned in 2 Kings 17:3 and 18:9 is Shalmaneser V who ruled between 727-722 BC.)
The tile museum is housed in a building constructed in 1472. Lots of pretty things here. This looks like one of t's home-made Christmas decorations:
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