Thank you very much everyone! Here is what I've found out with your suggestions, just in case others are interested in this topic:
(This paragraph needs changes)If a part has NAME and VALUE in its library with its outline, then the NAME and VALUE show up in tPlace layer just as the part’s outline, instead of tNAME or tVALUE layers. If a part doesn’t have NAME and VALUE in its library with its outline, then NAME and VALUE only show in tNAME and tVALUE layers.
To move the NAME and VALUE in board view, select the part and show its property then check “Smashed”. Now the NAME or VALUE can be moved around. If you move the part, the NAME and VALUE still follow the part around. If you “unsmash” the part, its NAME and VALUE go back to default locations or locations designed in the library.
westfw, I've saved your tips on managing silk screen in my EAGLE tips document, besides "how to duplicate a part in the library" I received from James C4S 