The Collaborative International Dictionary of English v.0.48:

Correspondency \Cor`re*spond"en*cy\ (k?r`r?-sp?nd"en-s?), n.;
   pl. Correspondencies (-s?z).
   Same as Correspondence, 3.
   [1913 Webster]

         The correspondencies of types and antitypes . . . may
         be very reasonable confirmations.        --S. Clarke.
   [1913 Webster]