Im sorry if Im repeating some of the names that have already been posted.

L Names:
Lea
Layla
Lila
Loreena
Laura,Lara,Lauren
Lucia,Lucy,Lucinda
Lacey
Laisha
Lola
Lilyanne,Lily
Lana,Lani,Lainey
Lavinna
Leighanne
Lesa
Leslie
Leyloni
Leticia
Lucretia
Lexine,Lexi
Lida,Lidia
Libby
Lindsay
Linnete
Leona
Lisa
Lizette
London
Luna
Lucille


A Names:
Alonna
Alexa, Alexandra
Angela,Angelica,Angie
Aaliyah
Ariela
Ariana
Ana
Analise
Anastasia
Andrea
Aria
Alyssa
Alisha
Aubrey
Amanda
Ashelee
Amber
Aida,Aide
Adriana
Ava
Abigail
Allison
Aileen
Ada
Aleecia
Anika
Anaika
Aralyn
Abrianna
Avril
April
Acacia
Ailani
Africa
Asia
Aizza
Alma
Amadi
Amalia
Audrina

Hope it helps =)

My girlfriend has 2 daughters whose names start with L and A

Alexis Camille
Lucinda Claire

I think both of these names are adorable. Lex and Lucy for short.

My other faviourites are
Amelia
Libby
Lainie
Arabella
Anikka
Lara
Alara
Lena
Lydia
Addie