I came across this..well I actually searched for the meaning of "Layna" and thought I would share. So, here ya go :
Layna (Old French) from the alder grove
[syll. lay-na, la-yna] The girl name Layna is pronounced LEY-Nah. Layna is of Old French and Germanic origin, and it is predominantly used in the English language.
Layna is a variant of Delaney (English). Layna is, also, a variant of Marlene (German, Polish, and English).
Layna is not regularly used as a baby name for girls. It is not listed in the top 1,000 names. In 2008, out of the group of girl names directly linked to Layna, Delaney was the most frequently used.
Baby names that sound like Layna include: Laina (Finnish), Leyna (English), Laima (Lithuanian), Lainey (English), Lama (Arabic), Lami (Hausa), Lana (English, Greek, and Russian), Lanae (English), Laney (English), Lani (Hawaiian and English), Lanna (English), Lannie (English), Lanny (English), Launa (English), Laurrane (English), Leana (English), Leanne (English, and Leean (English).