The Collaborative International Dictionary of English v.0.48:

obliging \o*bli"ging\ ([-o]*bl[imac]"j[i^]ng), a.
   Putting under obligation; disposed to oblige or do favors;
   hence, helpful; civil; kind.
   [1913 Webster]

         Mons. Strozzi has many curiosities, and is very
         obliging to a stranger who desires the sight of them.
                                                  --Addison.
   [1913 Webster]

   Syn: Civil; complaisant; courteous; kind, -- Obliging,
        Kind, Complaisant.

   Usage: One is kind who desires to see others happy; one is
          complaisant who endeavors to make them so in social
          intercourse by attentions calculated to please; one
          who is obliging performs some actual service, or has
          the disposition to do so.
          [1913 Webster] -- O*bli"ging*ly. adv. --
          O*bli"ging*ness, n.
          [1913 Webster]

WordNet (r) 3.0 (2006):

obligingly
    adv 1: in accommodation; "obligingly, he lowered his voice"
           [syn: obligingly, accommodatingly]