John Richmond's last name at birth is uncertain. He was born in Switzerland. "Reichman" or "Ritzman" or "Ritsman" have been suggested as possible orginal surnames. His first name at birth was most likely Jean. . 
It is certain his American name is John Richmond, so I have chosen to use this as "Name at birth", and I have put "Jean" as a nickname. I entered Reichman and Ritzman as other last names. Ryder-1228 17:27, 3 October 2017 (EDT)
John Richmond (or Jean Ritzman) was born, according to 1850 U.S. Federal census, about 1784 in Switzlerland. "The Wheat Genealogy", referenced below, places his birth in October 1787 at Schaffhuasen, Switzerland.
He was drafted into Napoleon Bonaparte's army at the age of 17, and fought under Napoleon in the Wars with Spain and Portugal; was taken prisoner by the British and retained for two years, then enlisted in the English army and drilled two years at Malta; when the War of 1812 broke out he was sent to Canada and was at the Battle of Plattsburg; at the close of the war he deserted and went to N.Y. state, finally settling at Middleburg, Scho. Co., where he married Eunice, daughter of Capt. Erastus Billings from Enfield, Conn.; later rem. to Franklin N.Y.
↑ Wheat Genealogy : A history of the Wheat Family in America : with a brief account of the name and family in England and Normandy : Volume 1 : 1903. Ancestry.com. North America, Family Histories, 1500-2000 
↑ "Wheat Genealogy : A history of the Wheat Family in America : with a brief account of the name and family in England and Normandy" : Volume 1 : 1903
↑ "United States Census, 1850," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MCYS-HXK : 12 April 2016), John Richmond, spouse Eunice. Children: Margarett, age 28; Eliza, age 23; Cornelia N, age 19; John F, age 16; Lydia E, age 14; Anna, age 10. Franklin, Delaware, New York, United States; citing family 337, NARA microfilm publication M432 (Washington, D.C.: National Archives and Records Administration, n.d.).
↑ "United States Census, 1870," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M8FK-W2M : 12 April 2016), Eunice Richmond, age 74, in household of Frederick and Anna Welton, New York, United States; citing p. 45, family 386, NARA microfilm publication M593 (Washington D.C.: National Archives and Records Administration, n.d.); FHL microfilm 552,422.
John Richmond, 1830, Schoharie, N.Y. "United States Census, 1830," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:XHP5-NFC : 29 July 2017), John Richmond, Middleburgh, Schoharie, New York, United States; citing 38, NARA microfilm publication M19, (Washington D.C.: National Archives and Records Administration, n.d.), roll 116; FHL microfilm 17,176.
John Richmond, 1840, Schoharie, N.Y"United States Census, 1840," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:XHYN-VWF : 16 August 2017), John Richmond, Middleburgh, Schoharie, New York, United States; citing p. 107, NARA microfilm publication M704, (Washington D.C.: National Archives and Records Administration, n.d.), roll 338; FHL microfilm 17,206.
Ohio, County Marriages, 1789-2013, database with images, FamilySearch : 27 September 2017), John Richmond in entry for John F. Richmond and Agnes M. Johnson, 06 Aug 1903; citing Morgan, Ohio, United States, reference Roll 5 p336 cn669; county courthouses, Ohio; FHL microfilm 910,660.
THIS NEEDS TO BE VERIFIED. BIRTH DEBORAH RICHMOND:
ORIGINAL DATA: Godfrey Memorial Library. American Genealogical-Biographical Index. Middletown, CT, USA: Godfrey Memorial Library; SOURCE INFORMATION: Godfrey Memorial Library, comp.. American Genealogical-Biographical Index (AGBI) . REFERENCE: Gen. Column of the " Boston Transcript". 1906-1941.( The greatest single source of material for gen. Data for the N.E. area and for the period 1600-1800. Completely indexed in the Index.): 30 Sep 1925, 3312. 
"Following the occupation of Switzerland by French revolutionary forces in 1798, a project to raise six demi-brigades of Swiss infantry for French service was initiated. However, recruitment proved difficult and by May 1799 only a quarter of the intended establishment of 18,000 had been raised. Napoleon authorized the recruitment of a Swiss infantry regiment for French service in July 1805. A further three infantry regiments were created in October 1807, each including an artillery company. He specified that this newly raised Swiss Corps should comprise only citizens of Switzerland without "mingling in deserters or other foreigners". The Swiss regiments fought well both in Spain (where they clashed at the Battle of Bailén with Swiss troops in the Spanish Army) and in Russia. During the retreat from Moscow Swiss losses amounted to 80% of their original numbers. The Swiss were allowed to keep the distinctive red coats which had distinguished them prior to 1792, with different facings identifying each regiment."
Extract from article "Swiss Mercenaries", Wikipedia, 
It may be possible to confirm family relationships with John 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 DNA with John: