Vintage style lighting will go a long way in restoring this old house. One suitable look might be the darker toned wood mirror frames and cabinetry.
Except in the bathroom, where there are no windows. It is in the middle of the house, vented by a meager fan, which of course will also be replaced with a more robust exhaust system.
Another approach would be to modernize the bathroom completely with bright colors, slick chrome fixtures and contemporary lighting. Make the room an oasis in the middle of more period appropriate interior decoration in the surrounding rooms.
Then there is the combination approach. If enough lighting can be focused in the room, it is possible to create a hybrid look. Sleek fixtures, a modern surround bathtub and shower and light colored cupboards would work. Then accessorize with vintage style lighting and a mirror that has the best features of both styles. Add in a small basket, fluffy linens and a tall table lamp could do the trick.
Draw a few elevations of the design. Go to the big box home store and get better ideas. That is the plan. Many, many ideas need to be visited before this plan is ready for review.