Diggery \d(i)-gge-ry\ as a boy's name is a variant of Diggory. See for origin and meaning of Diggery.
The baby name Diggery sounds like Digory and Diggorey. Other similar baby names are Daggett, Dagget, Dieter, Dizier, Didier, Digby, Jagger, Ruggero, Taggert and Tiger.