It’s name is the Falls Church Episcopal Church.
Where do you find that? Their web site just refers to it as 'The Falls Church'.
http://thefallschurch.org/templates/custhefalls/default.asp?id=29455
Both Falls Church (Episcopal) and Falls Church (Anglican) are in the state corporate database as 'reserved', but neither is an active corporate entity. Falls Church Anglican Day School is in there as well, but the Falls Church Episcopal Day School shows as 'purged'.
I'd be surprised if they called themselves 'Episcopal' when they aren't.
And the folks in Virgina appear to be using mid - 1980s technology for their database.