The Collaborative International Dictionary of English v.0.48:

Cosset \Cos"set\ (k?s"s?t), n. [Cf. AS. cotsetla cottager, G.
   kossat, kothsasse, fr. kot, koth E. (cot) hut, and cf. also
   E. cade, a., cot a cade lamb.]
   A lamb reared without the aid of the dam. Hence: A pet, in
   general.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Cosset \Cos"set\, v. t.
   To treat as a pet; to fondle.
   [1913 Webster]

         She was cosseted and posseted and prayed over and made
         much of.                                 --O. W.
                                                  Holmes.

WordNet (r) 3.0 (2006):

cosset
    v 1: treat with excessive indulgence; "grandparents often pamper
         the children"; "Let's not mollycoddle our students!" [syn:
         pamper, featherbed, cosset, cocker, baby,
         coddle, mollycoddle, spoil, indulge]

Moby Thesaurus II by Grady Ward, 1.0:

36 Moby Thesaurus words for "cosset":
   care for, caress, cater to, cherish, cocker, coddle, cradle,
   cultivate, dandle, dry-nurse, favor, feed, fondle, foster,
   give way to, gratify, humor, indulge, lavish care on, mollycoddle,
   mother, nourish, nurse, nurture, oblige, pamper, pat, pet, please,
   satisfy, spoil, spoon-feed, suckle, sustain, wet-nurse, yield to