The Collaborative International Dictionary of English v.0.48:

A-mornings \A-morn"ings\, adv. [See Amorwe. The -s is a
   genitival ending. See -wards.]
   In the morning; every morning. [Obs.]
   [1913 Webster]

         And have such pleasant walks into the woods
         A-mornings.                              --J. Fletcher.
   [1913 Webster]