Joseph Trahan was the son of Joseph Trahan and Elizabeth Aucoin.
Joseph Trahan married Francoise Pitre on June 24, 1783 in Louisiana, New Spain. 
He died before May 1793 when his widow remarried.
Bona Arsenault said that Joseph Trahan was "probably" the son of Jean Trahan and Marie Girouard and born about 1740. However, the 1752 census of Prince Edward Island/Ilse Saint Jean by Sieur de la Roque  shows the family of Jean and Marie without a son Joseph. This, combined with the birth record from St. Martinville, obviously casts strong doubt on Arsenault's speculation.
All that is known is that Joseph Trahan, the son of Joseph Trahan and Elizabeth Aucoin, was married at St. Martin of Tours Church on 24 June 1783. It is not known when he arrived in Louisiana or from where he came. Nothing other than their names is known of his parents.
↑ Southwest Louisiana Records Volume 1 (1756 - 1810), Rev. Donald J. Hebert, Hebert Publications, Rayne, Louisiana, 1966. Page 554. TRAHAN, Joseph (Joseph and Elizabeth AUCOIN) m. 24 June 1783 Francoise PITRE (SM Ch.: v. 3, #4)
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It may be possible to confirm family relationships with Joseph 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 Joseph: