The following birth, marriage & death records have been searched without finding any STERRYS or similar:

Nil

The following birth, marriage & death records have been searched and have located STERRYS or similar:

Buckley (Iroquois County)
Deaths
1916 Jan 7 Bert Stery, age unknown (Illinois Statewide Death Index 1916–1950)

Chicago (Cook County)
Births
The following entries are from the IGI.
1878 Mar 9 Elizabeth Sterry d. William Sterry & Ada Swing (batch number C393057)
1881 May 26 Julia Viola Sterry d. William Sterry & Ada Twing (extracted from Chicago birth certificates, 1878-1922, Cook County, Illinois. County Clerk)

Chicago (Cook County)
Deaths
1910 May 28 William R Sterry, 63 yr, Cert No: 00016573 (Illinois Statewide Death Index, Pre–1916)

1923 Mar 11 Ada Sterry, age unknown, Cert No: 6007890 (Illinois Statewide Death Index 1916–1950)

(Fulton)
Marriages
1854 Feb 5 Nathan W Bourne & Harriet Sterry (Illinois Statewide Marriage Index, 1763–1900)
1859 Sep 24 Franklin Miller & Mary Sterry (Illinois Statewide Marriage Index, 1763–1900)
1871 May 15 Edmund P Sterry & Laura A Peterson (Illinois Statewide Marriage Index, 1763–1900)

(Livingstone County)
Marriages
1858 Nov 25 Christopher W Sterry & Amanda M Hadley (Illinois Statewide Marriage Index, 1763–1900. Also personal submission in IGI.)
1877 May 19 Augustus E Standish & Carrie E Sterry (Mrs) (Illinois Statewide Marriage Index, 1763–1900)
1885 Mar 5 C H Long & Lida Sterry (Illinois Statewide Marriage Index, 1763–1900)
1895 Jun 26 E M Kirkpatrick & Mary E Sterry (Illinois Statewide Marriage Index, 1763–1900)
1896 Dec 16 Clarence B Hurt & Jessie Sterry (Illinois Statewide Marriage Index, 1763–1900)

Pontiac (Livingstone County)
Deaths
1901 Jan 8 Christopher W Sterry (Personal submission IGI. Born 12 Aug 1826 Franklin Co., Maine.)
1917 Mar 9 Mary Catherine Sterry, age unknown (Illinois Statewide Death Index 1916–1950)

(Whiteside)
Marriages
1867 Mar 21 Abram J Burger & Sophia C Stery (Illinois Statewide Marriage Index, 1763–1900)