His baptism record lists his name as Josef Miguel but it also lists his father as Josef Maria, which is definitely incorrect. It is likely that his name should be José Miguel.
Sources
"New Mexico Births and Christenings, 1726-1918", database, FamilySearch (https://familysearch.org/ark:/61903/1:1:HWXM-2KMM : 20 January 2020), Josef Miguil Mestas, born 27 Apr 1816, baptized 2 May 1816, San Juan de los Caballeros Mission, San Juan, New Mexico; FHL microfilm #16981, image 484.
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DNA Connections
It may be possible to confirm family relationships with Josef Miguel by comparing test results with other carriers of his ancestors' Y-chromosome or 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 Josef Miguel: