Congrats to your friend 
Personally I’m not keen on Hinckley/Hinkley I’m just not keen on the overall sound of the name I also hear hickey[name_f][/name_f] which isn’t the best. L@ini3 & L3vi are so lovely here are some suggestions which hopefully work but please count any repeats as me being in agreement with the berries
[name_f][/name_f]L theme:
[name_f][/name_f][name_f]Lyra[/name_f]
[name_f][/name_f][name_f]Lavender[/name_f]
[name_f][/name_f][name_f]Lilac[/name_f]
[name_f][/name_f][name_f]Linnea[/name_f]
[name_f][/name_f][name_f]Lottie[/name_f]
[name_f][/name_f][name_f]Lois[/name_f]
[name_f][/name_f][name_f]Lola[/name_f]
[name_f][/name_f][name_f]Lorelai[/name_f]
[name_f][/name_f][name_f]Liv[/name_f]
[name_f][/name_f][name_f]Lark[/name_f]
[name_f][/name_f][name_f]Libby[/name_f]
[name_f][/name_f][name_f]Lilou[/name_f]
[name_f][/name_f][name_m]Lowen[/name_m]
[name_f][/name_f][name_f]Liberty[/name_f]
[name_f][/name_f][name_f]Lotta[/name_f]
Moving away from L theme
[name_f][/name_f][name_m]Rowan[/name_m]
[name_f][/name_f][name_f]Sloane[/name_f]
[name_f][/name_f][name_f]Blaire[/name_f]
[name_f][/name_f][name_f]Capri[/name_f]
[name_f][/name_f][name_f]Delphi[/name_f]
[name_f][/name_f][name_f]Marlow[/name_f]
[name_f][/name_f][name_f]Winslet[/name_f]
[name_f][/name_f][name_f]Romy[/name_f]
[name_f][/name_f][name_f]Alba[/name_f]
[name_f][/name_f][name_f]Fern[/name_f]
[name_f][/name_f][name_f]Birdie[/name_f]
[name_f]Hope[/name_f] this helps