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:

(Ashtabula County)
Marriages
The following entries are from the IGI:
1839 Jun 14 D C Sterry & Chamberlin (personal submission)

(Cuyahoga County)
Births
1887-1887 Male Sterrey, Vol 8, Page 302
(Source: USGenWeb)

(Green County)
Marriages
The following entries are from the IGI:
1856 Feb 14 Uriah Sterry & Mary Coy (extracted from Marriage records, 1803-1968  Ohio. Probate Court, Greene County)

(Hamilton County)
Marriages
The following entries are from the IGI:
1877 Jul 26 Henry F Sterry & Maggie A Sullivan (extracted from Marriages records, 1852-1931; restored marriage records, 1808-1873,  Ohio. Probate Court, Hamilton County)

Leroy (Lake County)
Births
The following entries are from the IGI:
1843 Apr 8 Clinton Norman Sterry s. Dewitt Clinton Sterry & Lovissa Day (personal submission. Died May 1903.)

(Seneca County)
Marriages
The following entries are from the IGI:
1855 May 8 Simon Sterry & Magdeline Maynes (extracted from Marriage records, 1841-1951, Ohio. Probate Court, Seneca County)

Toledo (Lucas County)
Births
The following entries are from the IGI:
1882 Sep 17 Alta Sterry d. John E Sterry & Mary Rether (extracted from Record of Births, 1867-1908  Ohio. Probate Court (Lucas County)

Youngstown (Mahoning County)
Births
The following entries are from the IGI:
1886 Jun 25 Nellie May Sterrey d. William Sterrey & Mary Seeley (batch C010366)