obsequious-adjective [uhb-see-kwee-uhs]
1. characterized by or showing servile complaisance or deference; fawning: an obsequious bow.
2. servilely compliant or deferential: obsequious servants.
3. obedient; dutiful.

http://dictionary.reference.com/browse/obsequious

Their daughter's obsequiousness was shown in that she never argued with anyone no matter what she was told to do.