@ai6yr
Then, as now, manufacturers copied each others styles. My guess is John Keal dining chairs for Brown Saltman. Curved back bar. Stretcher bars between legs for stabilization. Mild curve to the taper of the legs. The back cushion has a smile on top and bottom, like a happy calzone.
This should be an easy reupholstery job. mostly glued solid wood frame. If yours has knobs on the back, those may cover screws.
Do any wood restoration first.
I think a solid cloth with that vintage texture (with the perpendicular lines where the weaving is just a bit uneven) would be the most classic.
To take it up a notch go for a bright pea green or orange based on what fits with the decor.
Similar era with different back, same manufacturer in red. So textured with some solid would work too I suspect. ($1547.00 each lol)
These chairs make me think of one of my favorite libraries.
https://www.kovifabrics.com/search/product-detail/20632?
https://www.foliofabrics.com/products/briggs-vermilion
https://fabricbistro.com/products/mid-century-modern-mcm-faux-linen-glazed-textured-froth-neutral-greige-beige-linen-chino-sand-upholstery-drapery-fabric-rmc-smii-1?variant=32385279131708
https://www.modern-fabrics.com/hbf-textiles-denim-wash-popsicle-basketweave-texture-performance-fabric.html
I love orange.
Le Creuset are the good ones. Hell expensive here.