I've dealt with the national register issues before, my family having owned several houses on the national register. I also grew up in houses 'heated' by open fireplaces, and had initially planned to do the same in my current ca.1773 house. However, heating via fireplace is not so easy:
1. A fireplace requires a good functional chimney, and while your house is not actually very old, we can be almost 100% certain yours are not in suitable shape. The porridge that was applied to your chimneys in 1840 is almost certainly de-laminating, leaving mud-stacked stone exposed, which creates a very unsafe situation. You could have the flues re-lined (liquid pour), if that were your only problem.
2. Fireplaces (even one fireplace) requires a massive amount of make-up air to operate. That make-up air must be drawn thru every gap in every window and door of your house. It will cause rooms far from the running fireplace to be VERY cold.
3. Again, fireplaces require copious amounts of make-up air to operate. If you're running several at the same time, to keep all of this "massive" (how many square feet is that?) house warm, you better be prepared to keep that house as leaky as it was in 1840. Any tightening up of doors, windows, soffets, operating clothes dryers, range hood vents, radon systems, etc., will cause draft trouble, when running multiple fireplaces at once.
4. Fireplaces consume a LOT of wood. I'm heating 6000 sq.ft. of old house with wood, and let me tell you, I can barely keep up with the felling, limbing, bucking, splitting, stacking, moving, and loading of firewood for two stoves. I have gone thru as much as a full cord in 8 days, in my very efficient catalytic stoves. With several fireplaces running, you can count on going thru at LEAST one cord per week, in the dead of winter. Someone here posted a statistic on the average household wood usage for heating in the 18th century, and it was somewhere close to 40 cords, if I recall. Keep in mind, most of those people were living in houses a fraction the size of yours.
If you're a farmer, with nothing to do but process and load wood all winter, then you can certainly heat by fireplace. For the rest of us, there's a better alternative... wood stoves.
You could consider inserts, and may find ways to install them in your smaller bedroom fireplaces, without messing with the fireplace at all. From there, you have a simple 6" stainless tube running up the chimney. Likewise, for your larger cooking fireplaces (photos, please!), you can do what I did:
https://www.hearth.com/talk/threads/old-fireplace.88498/