Besides the obvious like [name_f]Jennifer[/name_f], [name_f]Genevieve[/name_f], [name_f]Geneva[/name_f], and [name_f]Jenna[/name_f].
Thanks!
[name_u]Genesis[/name_u]
[name_f]Jeanette[/name_f]
[name_f]Jeannine[/name_f]
[name_f]Janet[/name_f]
[name_f]Janelle[/name_f]
[name_f]Janae[/name_f]
[name_f]Jenica[/name_f]
[name_u]Gentry[/name_u]
[name_u]Jensen[/name_u]
[name_f]Imogen[/name_f]
[name_u]Legend[/name_u]
[name_f]Genoa[/name_f]
[name_f]Argenta[/name_f]
[name_f]Virginia[/name_f], though I live in the southern US where we have a pen/pin merger lol
Jenalynn or Jenara I cant think in another haha 
What can Jenny be a nickname for?
[name_f]Jenny[/name_f] could be a name in its own right.
[name_u]Juniper[/name_u]
Genova
[name_f]Imogen[/name_f]
[name_f]Jessamyn[/name_f]
[name_f]Jane[/name_f]
It’s a classic nickname for [name_f]Jane[/name_f].
[name_f]Ginevra[/name_f] maybe? [name_u]Jensen[/name_u], [name_f]Jeanette[/name_f], [name_f]Janina[/name_f], [name_f]Jessamine[/name_f] and
I don’t think [name_f]Eugenia[/name_f] is mentioned yet!
Maybe Josephine/Josefina?