Individual Details

Her name is seen in many databases found on the Internet as Sarah Alice Dean Sargent. Middle names were fairly uncommon in her day, and I have found nothing to indicate she had any.

Sarah's parents were Lemuel Sargent and Sarah Hall, daughter of Pelatiah Hall.
When Lemuel Sargent wrote his will in 1820, he named a daughter as Sally Avery.

A History of Walpole, New Hampshire, Volumes 1 and 2, by Martha McDonalds Frizzell gives the following:
Sargents, Lemuel Capt., son of Daniel Sargents of Boston, Mass; m. Dec 12, 1765 Sarah; dau of Pelatiah and Sarah Paul Hall of Milton, Mass.; in W [Walpole] 1776; by 1789 had removed to Jaffray; Rev Soldier [247, 266]
11 Lemuel b c 1769; m Tamar Bates of Conn
12 Pelatiah b 1771; m 1792 Deborah
13 Betsey (Elizabeth) m a Clinton
14 Polly m a Mack
15 Mary bap July 6 1777
16 Sally Avery

Sally appeared to still be living with her husband in the 1840 census.

Birth	28 Mar 1772
Marriage	1 Nov 1794	Jaffrey, Cheshire County, New Hampshire - DANIEL AVERY
Death	Aft 1840	Schuyler County, Illinois

Spouse	DANIEL AVERY (1768 - 1848)
Child	Stephen AVERY (1796 - 1849)
Child	Daniel AVERY Jr. (1797 - 1851)
Child	Mary "Polly" AVERY (1799 - 1850)
Child	Chancy AVERY (1801 - )
Child	WILLIAM AVERY (1803 - 1867)
Child	Anna "Nancy" AVERY (1804 - 1870)
Child	Elizabeth "Betsy" AVERY (1807 - 1883)
Child	Pelatiah S. AVERY (1810 - 1891)
Child	Mariah Avery (1813 - 1844)
Child	Sarah "Sally" AVERY (1817 - 1849)

Father	LEMUEL Sargent (1745 - 1820)
Mother	SARAH Hall (1749 - )
Sibling	Pelatiah Sargent (1767 - 1824)
Sibling	Lemuel Sargent Jr. (1769 - 1829)
Sibling	Mary "Polly" Sargent ( - )
Sibling	Betsey Lane Sargent ( - 1781)
Sibling	Elizabeth Sargent ( - )