Thanks for the question! The market for cast iron stoves is generally fairly modest in that few people are collecting them and most are purchased for decorative use in homes. A Birmingham Stove and Range (Baron model 17) would generally sell for $300 to $600 depending on condition. I found several images from auctions (attached). let me know how I may be of further help to you and thank you!
A guide to the stoves states the history as follows:
Birmingham Stove & Range Co.
Location: Birmingham, Jefferson County, Alabama
Founder: Sam D. Jones
Period of Production: 1902-1989
Products Manufactured: Full Line
Brand Names: Red Mountain, Century, Pioneer, Lady Bess
Birmingham Stove & Range Co. Timeline
1898 - Jones family acquires controlling interest in Atlanta Stove Works.
1902 - Birmingham Stove & Range Co. established to produce hollow ware and stoves for ASW and itself.
1916 - Land acquired and construction commenced to replace building previously lost to fire.
1930s-40s - Red Mountain series of cookware produced.
1950s - Century series introduced.
1957 - Atlanta foundry closed. BSR continues to produce products under both the ASW and BSR names.
1960s - Automated molding machines installed.
1989 - BSR foundry closes, brand continues to be produced under agreement with Lodge.
1991 - Company closes, relinquishes patterns and molds to Lodge to satisfy debt.