I can't find a cross-reference for that number, but Eastern Arms was a trade name used by Sears Roebuck. Most of the shotguns were made by Stevens/Savage.
remington
Eastern Arms Co. was the trade name placed on inexpensive shotguns and revolvers made for Sears. The Sears part numbers 101.XXX were made Savage/Stevens although the 101.18 isn't listed on the site I visited. You may be able to match your model using a gun values book for the photos or going to the Numrich web site (gunpartscorp.com) and looking at the Savage/Stevens pictures.
I was informed that' some Morsel shotguns were made by Navy Arms Co.
Turn of the century
Chances are it was made by HD Folsom or Crescent.
American Arms imported Spanish shotguns manufactured by Zabala Hermanos, Lanber, and Indesal. Italian shotguns were also imported and mfg. by Stefano Fausti (Models Silver, Waterfowl, and Turkey Special).
savage,springfield arms co.
Late 1800-early 1900
Beebe shotguns were made by one of two two manufacturers. Harrington & Richardson Arms Company made them from 1871 to about 1975. Hopkins & Allen made shotguns from 1868 to 1915.
Red Chieftain shotguns were made by Crescent Arms Arms Co and J Stevens Arms Co for the Supplee-Biddle Hardware Co.
'1929' is going to be a patent date, not a model number. Eastern Arms Co was not an actual manufacturer, it was a brand name used by Sears on guns they marketed, generally made by the Stevens Arms Co. Value is strictly based on its usability as a shooter, and single-barrel 16ga shotguns will generally sell for less than $100. 1929 is a model number marked on Stevens/Springfield shotguns.