You can read about the history of Baker guns at: http://www.bakercollectors.com/index.php?p=1_8_Baker-G-F-Co-Guns
My gun is from the 'Folsom Era'. You'd have to get more info like the name and serial number to pin down your model. The information on the Collectors site shows that the Bakers were made into 1930. A bit different than the Standard Catalog of Firearms which shows 1923 as the latest date.
From the S.C. of Firearms:
"The Baker Gun & Forging Company was the first American arms manufacturer to:
1. Make a single barrel trap shotgun.
2. Make a single barrel trap shotgun with a ventilated rib.
3. Make arms with an intercepting firing pin block safety.
4. Make a double barrel shotgun with hammers directly
behind the firing pins.
5. Use a long swinging sear that once adjusted gave
consistent trigger pull throughout the working life of an arm."
I'm a bit tired of older guns being referred to as 'Trade Name Guns' as a knee jerk reaction. Baker guns were always made by Baker, it is not a Trade Name gun made by someone else. They did make some guns with other retailers names on them, but I doubt they dropped the quality. The S.C. of Fireams estimated a value of $5,300 for a Expert Grade in excellent condition and says the Folsom era guns were identical. The Collectors site mentions one that sold for $10,000.00.
On a head-to-head shootout I'd place my refinished (by me) Batavia Leader against any gun ever made. Engraving and fancy wood don't make a gun any safer, longer lasting or better shooting. And Trade Names don't make them any worse.