Name to get to Gintie

I saw the movie Saving Mr. [name_m]Banks[/name_m] today and thought her nickname “Gintie” (Gintey/Ginty?) is adorable! We are pregnant with our second, a girl, due the end of the month. Any ideas on a name to get to that nickname? (Our son is [name_u]Sawyer[/name_u].)

*I should also note the G sounds like Grace as opposed to Ginny.

[name_m]Just[/name_m] spitballin’ here, but maybe:
[name_f]Virginia[/name_f] (the long form of similar-sounding “[name_f]Ginny[/name_f]”)
[name_f]Gineveve[/name_f]
[name_f]Ginger[/name_f]

I think [name_f]Virginia[/name_f] would be really cute with [name_u]Sawyer[/name_u].
Any thoughts?

Ginesa – white
[name_f]Ginevra[/name_f] – lady of the people
[name_f]Ginger[/name_f]
Higinia – she enjoys good health
Migina – moon returning
Nagina – precious pearl
[name_f]Regina[/name_f] – queen
[name_f]Virginia[/name_f]
[name_f]Giacinta[/name_f] – an obscure Greek name

Angeni – spirit angel
[name_f]Eugenia[/name_f] – well born – you-jen-ee-ah
[name_f]Geneva[/name_f] – lady of the people
[name_f]Genevieve[/name_f] – lady of the people
Gentiana – gentian
[name_f]Imogen[/name_f] – daughter
Magena – the coming moon

Jenara – dedicated to [name_m]Janus[/name_m]
Jenaya – Yahweh is gracious

The only name I can think of is [name_f]Gilda[/name_f].