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Now that's a nice thing! What a shame it's broken, but I think it would deserve some careful restoration.
My thoughts are that it is indeed Egyptian and probably Late Dynastic. It looks to made of 'faience' rather than pottery as such.
These things are generally known as 'New Year's Bottles (or Flasks)' and were made to hold perfumes, oils and such for ritual use, but also specifically water from the river Nile offered as a celebratory gift for the New Year. The Egyptian New Year began at the start of the flood season, so offering water from the Nile was a particular way of symbolising the new cycle.
Here's a couple of examples (both made from faience):
Both of these are from the 26th Dynasty and include the cartouche for Ahmose II (570-526 BC). In addition to geometric designs and flowers, these bottles often have other New Year related designs and inscriptions, especially on the 'edge'. These both have "Happy New Year" in hieroglyphs and the first one also has two baboons (sacred to the god Thoth, to whom the first month of the year was dedicated).
Anything on the edge of yours, or any other inscriptions? Look closely on the neck too for any kind of hieroglyph.
