The Collaborative International Dictionary of English v.0.48:

Duteous \Du"te*ous\, a. [From Duty.]
   1. Fulfilling duty; dutiful; having the sentiments due to a
      superior, or to one to whom respect or service is owed;
      obedient; as, a duteous son or daughter.
      [1913 Webster]

   2. Subservient; obsequious.
      [1913 Webster]

            Duteous to the vices of thy mistress. --Shak.
      -- Du"te*ous*ly, adv. -- Du"te*ous*ness, n.
      [1913 Webster]

WordNet (r) 3.0 (2006):

duteous
    adj 1: willingly obedient out of a sense of duty and respect; "a
           dutiful child"; "a dutiful citizen"; "Patient Griselda
           was a chaste and duteous wife"; [syn: dutiful,
           duteous]

Moby Thesaurus II by Grady Ward, 1.0:

29 Moby Thesaurus words for "duteous":
   acquiescent, active, compliant, complying, conforming,
   conscientious, constant, deferential, devoted, devout, dutiful,
   ethical, faithful, law-abiding, loyal, meticulous, mindful, moral,
   obedient, observant, practicing, punctilious, punctual, regardful,
   respectful, scrupulous, submissive, true, willing