Source : Webster's Revised Unabridged Dictionary (1913)

Ignorantly \Ig"no*rant*ly\, adv.
   In a ignorant manner; without knowledge; inadvertently.

         Whom therefoer ye ignorantly worship, him declare I
         unto you.                                --Acts xvii.
                                                  23.

Source : WordNet®

ignorantly
     adv : in ignorance; in an ignorant manner; "they lived ignorantly
           in their own small world"