Early 19th century; earliest use found in Richard Whately (1787–1863), Church of Ireland archbishop of Dublin and philosopher. From non- + correspondence.
Definition of non-correspondence in US English:
non-correspondence
nounˌnɒnkɒrɪˈspɒnd(ə)ns
Lack of correspondence or equivalence.
Origin
Early 19th century; earliest use found in Richard Whately (1787–1863), Church of Ireland archbishop of Dublin and philosopher. From non- + correspondence.