I have to say Amber is such a pretty name but if your already questioning if there is a 'better' name out there then Amber then to me it sounds like your not sold on the name so to speak (hope that's ok for me to comment on, but then maybe i'm wrong and you do truely LOVE the name Amber, well of course i hope you do )

I'm a big fan of Lyla since i knew a lovely little girl named Lyla in my DD's Mother's Group

other names ;

Adele
Ariane (my DDs middle name meaning 'Holy')
Corinne
Jasmine
Laura
Lauren
Lorinda
Tessa