"evasive, artful, cunning," 1855, from dodge (n.) + -y (2). Hence, "unreliable,… See origin and meaning of dodgy.
It is important to distinguish the meaning of Ecclesiastical Romanesque in the mid-19th century from its use a few decades later when the Richardsonian version of Romanesque was imported from America for reasons of defining a national style. The difference is slightly blurred by Henry Stirling ...