I have been able to obtain no personal biographical information, but the evidence below, to some degree tells us about his life.
Sources
"United States Census, 1850," database with images, FamilySearch (https://www.familysearch.org/ark:/61903/1:1:M4HN-T5J : 22 December 2020), Henry L Moore, Center Township, Greene, Pennsylvania, United States; citing family , NARA microfilm publication (Washington, D.C.: National Archives and Records Administration, n.d.).
Obituary, written by his daughter, lists his parents as George and Katherine Moore of Greene County Pennsylvania (Green County Democrat News, September 25, 1803). In the obit the name which is been spelled Catherine by almost everyone else is spelled Katherine.Tombstone Is a double stone, and it lists Henry's data and that of his wife, Mary B. Strawn. This is a handsome, large, stone which was placed there fairly recently by my cousins in Pennsylvania. 1850 US Federal Census taken 21 August in Center, Greene, Pennsylvania; role M4 32783; page 276 a; line 28; image 550. At this time Henry was 26 years old and married to Mary Strawn Moore, with three children ages seven months through four years. He is listed in subsequent census from 1860 through 1900. The 1900 census was taken 11 June in Jackson, Greene, Pennsylvania; role 1413; page 5 a; line 39; enumeration district 0089; FHL microfilm: 124-1413. At that time he was listed as age 76 years of age, born in Pennsylvania and his parents born in Pennsylvania, retired farmer married for 55 years. All the evidence is, Including his wife's data, internally consistent.
Connections of Henry L Moore to his father and mother: Henry's obituary, and the 1880 US Federal Census and the 1900 US Federal Census, where he states that both of his parents wer
e born in Pennsylvania.
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DNA Connections
It may be possible to confirm family relationships with Henry by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
However, there are no known yDNA or mtDNA test-takers in his direct paternal or maternal line.
It is likely that these autosomal DNA test-takers will share some percentage of DNA with Henry: