Closed between 1909 and the late 1930s.
grid reference TM 034 494
It appears on OS maps as late as 1905. The pub is listed in the 1909 Rates book, but at some point its entry has been altered to "Moat House", so it would seem that the pub closed some time between 1909 and the late 1930s, when this rate book was superseded.
The Greyhound is shown at this location on an old OS map from about the end of the 19th century. interactive map