Hi Poole........welcome to TFF.
Your A.J. Aubrey shotgun was made by the Meriden Fire Arms Co. of Meriden, CT for Sears, Roebuck.
The Meriden Fire Arms Co. was a subsidiary of Sears, Roebuck & Co., actually manufacturing guns for sale exclusively by the parent company. They also imported guns from Germany and Belgium under their name. Sears sold the Meriden factory for to Westinghouse Electric & Manufacturing company in 1915, and the factory appears not to have made guns again.
The A.J. Aubrey shotguns were made from about 1906 until the factory was sold in 1915, so your shotgun would've been made in that time frame.
They made a number of different models ranging in price from $ 13.85 to $ 26.75.
As for value.....what gauge is it? What kind of condition is it in? Is it complete, do all the parts work? How much of the original finish is left? Does it have any engraving?
FYI.....this a blackpowder era shotgun, made to fire blackpowder shotgun shells ONLY
! Do not, under any circumstances
try to fire modern smokeless powder shotgun shells in it!