The lenses in most of what I think of as Brownie cameras won't quite cover the 4x5 frame. Even the earliest used 120 film, so a 6x9 frame, and a meniscus lens (concave to the world, behind an aperture); you might get illumination to the corners, but they'll be pretty, um, artistic. My experience is that a 105 mm triplet (a much more expensive lens than what Brownies generally got) will just barely cover 4x5 at f/16 or smaller, if set hyperfocal (12 feet or closer), but I'm not sure whether the image circle of a meniscus is larger or smaller than a triplet.
The Brownie Special had a curved film plane to partially compensate for mounting the meniscus lens "backward" -- that is, convex to the world. That makes it even less suitable to cover a flat 4x5 film...