“[name]Noa[/name]” is a lovely feminine Hebrew name. It can be spelled with or without the “h,” but in Western society it’s best to drop the “h” so as to avoid confusion with the better-known [name]Noah[/name] of the ark fame.
In the bible, [name]Noa[/name] was one of five daughters of Zelophehad the son of Hepher (who had no sons). [name]Noa[/name]'s sisters were: Mahla, Hogla, Milca, and [name]Tirza[/name].
These outspoken sisters were instrumental in changing the laws of inheritance during their time. Their father had died without sons, and so the sisters petitioned [name]Moses[/name] for the inheritance that normally would have passed to sons: “And the [name]Lord[/name] spoke unto [name]Moses[/name], saying: The daughters of Zelophehad speak right: thou shalt surely give them a possession of an inheritance among their father’s brethren; and thou shalt cause the inheritance of their father to pass unto them. And thou shalt speak unto the children of [name]Israel[/name], saying: If a man die, and have no son, then ye shall cause his inheritance to pass unto his daughter.” (Numbers 27:6-8).
The name “[name]Noa[/name]” means “movement; motion,” and [name]Noa[/name] (with her sisters) was a force of motion for change in her time. I would say that the names of [name]Noa[/name], Mahla, Hogla (okay, not the prettiest of names, that one), Milca, and [name]Tirza[/name] make very good names for budding feminists.
As for your initial question about whether the other [name]Noah[/name] in your family is “too close” for you to name your own daughter [name]Noa[/name] – I think only you can decide that.