The Collaborative International Dictionary of English v.0.48:

Infamously \In"fa*mous*ly\, adv.
   In an infamous manner or degree; scandalously; disgracefully;
   shamefully.
   [1913 Webster]

         The sealed fountain of royal bounty which had been
         infamously monopolized and huckstered.   --Burke.
   [1913 Webster]