-edited- sorry I posted this before I saw you weren't looking for an "H name! :-o
Oh, how fun for you!!
Ok, here's a few I came up with that are kind of "different names" I don't know if its a boy or girl so most of these are either or type of names.
Haben
Hayden
Haven
Hans
Harlan
Harper
Hasad
Helaina
Henrik
Hertz
Herb
Hester
Hila
Hiroko (means magnificent)
Honora
Hoshi (means star)
Houston
Hugo
Hakeem
Hilel
Holmes
Hunter
and
Hoshtar |