The Collaborative International Dictionary of English v.0.48:

Smiddy \Smid"dy\, n. [See Smithy.]
   A smithy. [Prov. Eng. & Scot.]
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Smithy \Smith"y\ (-[y^]), n. [AS. smi[eth][eth]e, fr. smi[eth];
   akin to D. smidse, smids, OHG. smitta, G. schmiede, Icel.
   smi[eth]ja. See Smith, n.]
   The workshop of a smith, esp. a blacksmith; a smithery; a
   stithy. [Written also smiddy.]
   [1913 Webster]

         Under a spreading chestnut tree
         The village smithy stands.               --Longfellow.
   [1913 Webster]