Hi - a recap of some information you have posted previously:
You are seeking the parents of Alzinia Gilbert
Alzinia Gilbert was born about 1805 in New York.
Alzinia married Leicester P. Beebe 22 December 1824 in Canandaigua, Ontario, New York.
This couple lived in Ohio and Michigan (you did not state what years or what specific places).
Alzinia had a sister Lorinda A. Gilbert born about 1820 in New York.
Lorinda married Hiram Thompson (born about 1800) 05 January 1841 in Jackson County, Michigan.
Lorinda and Hiram were living in St Charles, Winona, Minnesota before 1868.
======================================================= You didn't mention your sources for the above info - maybe you could add those? And maybe share more of what you know of Alzinia (if you do have specific locations in specific years for her in Michigan and Ohio, for example, or if you know her children's names, etc).
Do you have a copy of Alzinia's marriage license? Many times a marriage license will name a person's parents, and you do know exactly when and where she married, so that document would be worth sending for (most often the online version of a marriage record will not include all the information on the original).
Below is a census record that Mr. Kerwin posted for you in 2006.
1850 US census Jackson, Jackson, Michigan Hiram - husband, 50, b. NY Lorinda Thompson, 30, b abt 1820 NY XX Mary Thompson, 9, b Michigan Ada Thompson 6, b Michigan James L. Thompson 21, painter
In 1875 Minnesota state census, Hiram and Lorinda Thompson lived in Hokah, Houston, Minnesota. I don't see Lorinda in the 1880 census - have you found her? It's possible that a death record for Lorinda might state her parents' names. Ditto for her marriage license.
You suspect T. C. Gilbert in Concord township, Jackson, Michigan might be related to Alzinia. I did not find T. C. in the 1850 census nor did I find him on Find-a-Grave in Jackson County, Michigan. Why didn't the census enumerator write down T. C.'s full first name? Arghhhh
Not much help; I'll check back to see if you've been able to add anything more re. Alzinia to this thread.