Hi, Skyrocket Away!
I'm sorry that no one has yet come along to address your question!
According to what's on the following site, Beech-Nut started to produce baby food in 1931.
Beech-Nut Nutrition Corporation -- Company History
What is below, is quoted from that site.
Company Perspectives:
Beech-Nut has been feeding babies like yours since 1931. We consider it a special privilege, a trust. So from the beginning, we've been an industry innovator. Our company's goal has always been to develop and market superior products. We pride ourselves on using the highest quality, all natural ingredients to create great-tasting and nutritious items. If a product doesn't exceed our expectations, we won't sell it.
Key Dates:
1890: The Imperial Packing Co.--the predecessor to Beech-Nut--is founded by five residents of Canajoharie, New York.
1899: The company incorporates as Beech-Nut Packing Company.
1905: The company grosses $1 million per year upon the success of its jarred bacon.
1910: Beech-Nut enters the gum business.
1931: Strained baby foods are launched.
1956: The company merges with Life Savers Corp.
1968: The firm merges with pharmaceutical giant ER Squibb & Sons.
1973: Squibb sells the Beech-Nut baby food line to a three-man partnership.
1979: Beech-Nut is sold to Nestlé S.A.
1982: The firm recalls its apple juice.
1986: The company and two of its executives are indicted on 470 counts of violating the Federal Food, Drug, and Cosmetic Act for selling adulterated apple products.
1989: Ralston Purina Co. purchases Beech-Nut.
1994: Ralston spins off its human food businesses as Ralcorp Holdings Inc.
1998: The Milnot Company acquires Beech-Nut.
2001: H.J. Heinz Co. and Milnot abandon merger plans.
From the looks of the label on the jar in the image and comparing it to other antique jars for various things that I have and have seen elsewhere, and considering the over-all style of the label and lettering, I would say that it's from the 1930's.
Thanks!