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:

(Providence County)
Births
The following entries are from the IGI:
1766 Sep 24 John Sterry s. Roger Sterry & Abigail Holms (personal submission. John died 5 Nov 1823.)

Providence (Providence County)
Births
The following entries are from the IGI:
1739 Sep 21 Robert Sterry s. Amy Potter Sterry (extracted from Providence, Rhode Island town record LDS printouts, births, 1636-1850)
1781 Dec 28 Robert Sterry s. Cypian Sterry & Mary (extracted from Providence, Rhode Island town record LDS printouts, births, 1636-1850. Also personal submission with additional information. Mary is Mary Russell and Robert died 17 Jan 1820.)
1783 May 22 Betsey Sterry d. Cyprian Sterry & Mary (extracted from Providence, Rhode Island town record LDS printouts, births, 1636-1850)
1785 Feb 20 Polly Sterry d. Cyprian Sterry & Mary (extracted from Providence, Rhode Island town record LDS printouts, births, 1636-1850)
1787 Jan 21 Ann H Sterry d. Cyprian Sterry & Mary (extracted from Providence, Rhode Island town record LDS printouts, births, 1636-1850)
1791 Jan 13 Louisa H Sterry d. Cyprian Sterry & Mary (extracted from Providence, Rhode Island town record LDS printouts, births, 1636-1850)
1792 Jan 4 Thomas Sterry s. Nathan Sterry & Abigail (extracted from Providence, Rhode Island town record LDS printouts, births, 1636-1850)
1794 Dec 18 Julia Ann Sterry d. Samuel Angell Sterry & Betsey Packard (personal submission. Julia Ann died 13 Nov 1870.)
1798 Sep 10 Sophia Russell Sterry d. Cyrian Sterry & Mary Russell (personal submission. Sophia Russell died 28 Aug 1854.)

This additional birth is listed in the index of births, marriages and deaths in "Vital Records of Rhode Island 1836-1850" by J.N. Arnold [1906]:
1789 Sep 21 Robert Sterry s. of Amy Potter [1:119]

Providence (Providence County)
Marriages
The following entries are from the IGI:
1732 Nov 28 Robert Sterry & Rosabella Angell (extracted from Births, Marriages, Deaths 1636-1880 Providence Rhode Island, City Registrar)
1742 Sep 7 Robert Sterry & Lydia Angell (extracted from Births, Marriages, Deaths 1636-1880 Providence Rhode Island, City Registrar)
1759 Oct 22 Thomas Sterry & Lucy Field (extracted from Births, Marriages, Deaths 1636-1880 Providence Rhode Island, City Registrar)
1765 Jun 4 David Lawrence & Sybil Sterry (extracted from Births, Marriages, Deaths 1636-1880 Providence Rhode Island, City Registrar)
1771 Oct 27 Robert Sterry & Anne Cook (Personal submission IGI. Also reported in Providence Gazette dated 2 Nov 1771: "Capt. Robert Sterry and Nancy Cooke, daugfhter of Hon. Nicholas, at Providence".)
1775 Sep 28 Anna Sterry & Asa Waterman (Extracted from Births, Marriages, Deaths 1636-1880 Providence Rhode Island, City Registrar. Reported in Providence Gazette dated 26 Jul 1777 "Mrs Ann Sterry, widow of Capt. Robert, and Capt. Asa Waterman, of Norwich.")
1780 May 28 Cyprian Sterry & Mary Russell (personal submission. Cyprian died 1 Sep 1824. This marriage was also reported in the Providence Gazette dated 3 Jun 1780 as Cyprian Sterry, merchant and Polly Russell, daughter of Joseph. Note variation in name.)
1788 Aug 3 Nathan Sterry & Nabby Wheaton (extracted from Births, Marriages, Deaths 1636-1880 Providence Rhode Island, City Registrar. The 'Public Records State of Connecticut 1780/81' by C J Hardy also lists this marriage: STERRY Nathan and Nabby Wheaton, d. of Capt. Comfort, Aug. 3, 1788.)
1789 Apr 17 James Eleback & Jemima Sterry (extracted from Births, marriages, deaths 1636-1880, Providence, Rhode Island. City Registrar. There is another extracted marriage from the same source that has variations. James Elebach. Jennina Sterry. The 'Public Records State of Connecticut 1780/81' by C J Hardy also lists this marriage: ELEBACK James of Boston, Mass., and Jemima Sterry of Providence, Apr 17, 1789)
1792 Sep 2 Samuel A Sterry & Betsey Packard (extracted from Births, Marriages, Deaths 1636-1880 Providence Rhode Island, City Registrar. There is another extracted marriage from the same source that has variations. 1791. Samuel Angell Sterry. The 'Public Records State of Connecticut 1780/81' by C J Hardy also lists this marriage: STERRY Samuel Angell and Betsey Packard, Sept. 2, 1792.)
1806 Nov 27 Betsey Sterry & Eleazer B Billings (Extracted from Births, marriages, deaths 1636-1880  Providence (Rhode Island). City Registrar. Also reported in Providence Gazette for 6 Dec 1806: "Mrs Elizabeth Sterry, widow of Samuel, and Eleazer B. Billings, merchant, in this town".)
1815 Apr __ James Valentine & Julia A Sterry (Extracted from Births, Marriages, Deaths 1636-1880 Providence Rhode Island, City Registrar. Also recorded in Providence Gazette for 16 Apr 1815: "James Valentine, merchant, and Julia A Sterry, both of this town".)
1817 Jun 30 George William Steinhauer & Louisa Haley Sterry (Personal submission IGI. Also reported Providence Gazette dated 30 Jun 1817: "Louisa H Sterry, daughter of Cyprian, Esq., of this town and George W. Steinhauer, at this town".)
1820 Oct 12 Joseph Mauran & Sophia Russell Sterry (Personal submission IGI. Also reported in Providence Gazette dated 12 Oct 1820: 'Dr Joseph Mauran and Sophia R. Sterry, daughter of Cyrian, both of and at this town')

Providence
Deaths

According to Walter Smith, 'The Sterry Family', Samuel Sterry died at Providence RI on 9 Oct 1737.

The following deaths were recorded in the Providence Gazette [Source: World Connect]:
1770 Lydia Sterry, wife of Robert, at Providence [Gazette dated Aug 3]
1772 Cyprian Sterry. Sen., at Providence [Gazette dated Jul 4]
1772 Capt. Robert Sterry, of Providence, died in the West Indies [Gazette dated Sep 5]
1773 Capt. Samuel Sterry [Gazette dated Jul 24]
1780 Robert Sterry, at Preston, Conn. [Gazette dated May 6]
1780 Lucy Sterry, widow of Capt. Thomas Sterry [Gazette dated Aug 27]
1789 Robert Sterry, of this town, at an advanced age [Gazette dated Apr 20]
1795 Samuel Angell Sterry, on passage from Savannah, G[eorgi]a, to this port, at sea, occasioned by a fall, in 26th year [Gazette dated Oct 3]
1799 Mrs Abigail Sterry, wife of Capt. Nathan and daughter of Comfort Wheaton, in this town [Gazette dated May 18]
1801 Elizabeth Sterry, widow of Cyprian, aged 94 years 7 months [Gazette dated Oct 7]
1802 Thomas Sterry, son of the late Capt. Nathan, in this town, in 11th year, suddenly [Gazette dated Jul 17]
1811 Patience Sterry [coloured], aged 53 years [Gazette dated Mar 30]
1820 Major Robert, late Americna Consul, at Rochelle, lost from on board ship Helen, lately wrecked at Sag Harbour [Gazette dated Feb 7]

Scituate (Providence County)
Births
The following entries are from the IGI:
1704 Dec 2 Hannah Sterry d. Samuel Sterry & Hannah Rose (personal submission. Hannah died 26 Feb 1802. Scituate is actually given as Scituate Township. There are other personal submissions with alternate dates: 2 Dec 1706)

Scituate (Providence County)
Marriages
The following entries are from the IGI:
1731 Dec 25 Hannah Sterry & Hezekiah Fisk (personal submission)

(Place/County not specified)
Births
1896 Sep 26 Lurleen M Sterry d. George McL & May L Sterry [Source: Ancestry.com: Rhode Island Births 1636-1930]