The listing for North American International, Inc. is now listed as a marketing company in NJ.
I believe it has nothing to do with the probably defunct furniture company with the same name.
The joins on your set are late 19thC. The curved lines of your set date the same as they are part of Art Nouveau style.
The high back headboard also indicates 19thC.
See the following photo.
The price of this set is $1500 which I believe to be the value of your set.
If you would like to sell close to retail , some ideas are:
The internet has your largest audience of buyers. Place small ads on these sites or set up your own small store on these sites.
Etsy.com - small fees - 20 cents to list plus 3.5% final price.
Goantiques.com - more upscale fee based
Rubylane.com - more upscale fee based
Amazon Marketplace: http://services.amazon.com/content/sell-on-amazon.htm/ref=footer_soa?ld=AZFSSOA
Another method that could be very effective would be to place a classified in the "Maine Antique Digest" It has a large readership of collectors all across the country.
A private seller to a dealer can expect 30-60% of retail value.
I hope I have helped you.
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