According to the Wuerttemberg immigration index it appears that Jake was christened "Johann Georg Stoll." He is listed as George Stoll in the US Census and was known as Jake to family.

From Wuerttemberg Immigration Index:
Stoll, Johann Georg
Birth Date: 1 Jun 1845
Birth Place: Maisenbach
District: Neuenburg

1880 U.S. Census: Laenna Twp., Logan Co., IL - page 270
Stoll, George J., 34, Wuerttenberg Wubg Wubg
Linda [Maylinda?] 27, Nassan, Nassan, Nassan
Wm. , 6
John , 4
Volle, Jacob, 23
Mayase or Majase, Frank, 23 [Bill thinks it might be Mayer]
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1900 Census: Mt Pulaski, Logan Co., IL, Ed 35, stamped 164b, see notes
91 93 Stoll, George [Jake] June 1845, m:28yrs, Ger, Ger, Ger Imm:1847, In US: 53, Na Farmer
Minnie, Sep 1853, m:28yrs, Ger, Ger, Ger Imm:1853, In US: 46, given birth to 6 children, 4 living
William - Mar 1874, IL, Ger, Ger
John - Mar 1876, IL, Ger, Ger
Mary - May 1881, IL, Ger, Ger
Georg B. - Feb 1884, IL, Ger, Ger

1910 Census: Mt Pulaski, living at Jefferson Street. No occupation listed but lives on own income.

1920 Census: Mt. Pulaski, Logan Co., IL, ED 77 Sheet 5A - living on Scott St.
Stoll, George [Jake], Own's home, Free, 74, Imm:1847, Na, Ger, Ger, Ger
Minnie, 66, Imm: 1853, Na, Ger, Ger, Ger

Sons George and John live within a few doors of their parents and are auto salesmen.