I personally feel that it is a mis-attribution and will be unfortunately carried on to future generations of the new owner's family. The set of 3 appear to have been produced in a later era (20th century) than either of those makers were active. I'd love to get a chance to look at the hardware and nails/screws which would help date it more accurately.
I think you may have been reminded of the Bembe & Kimbel chairs due to the Guilloche pattern on both. If you sniff around you'll see many examples that are similar throughout
history, so isn't an identifying feature to attribute solely to B&K.
My 2c.
