Galadriel and her children

Hello I am ahuge fan of Galadriel and I have some questions for you.I have read the Silmarilion but some thing still remain unclear for me.DId Celebrian have the same fortune as Feanor's mother?Why did Celeborn give his wife the name Galadriel?Was Amroth Galadriel's son?What happened after she arrived in Valinor with the ring beare? [img]smilies/eek.gif[/img]