Hi,
I don't have the anwer. Are you sure that his mother is Marie Eugénie BASTON. Could it be BASCOU instead ? BASCOU fits better in the Pyrénées. Is there anything else you can tell us about Henri CAMOU. How do you know his mother's name ? Where did he live in Mexico ?
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Other CAMOUS in Mexico
In 1828
http://gael.gironde.fr/img-viewer/FRAD033/M/4M/4M709/viewer.html?name=FRAD033_4M709_0392_P.jpg&ns=FRAD033_4M709_0392_P.jpgPasseport of Jean CAMOU, 27years old, a native of Asap (Basses-Pyrénées), living in New York and going to Vera-Cruz Mexico for business
His birth place is the village of Asap-Arros (Pyrénées-Atlantiques)
http://www.asasp-arros.fr/Probably Jean CAMOU born 4 Floréal an X, to Jean Baptiste CAMOU and Marie CAUDAUDAP
http://earchives.le64.fr/img-viewer/FRAD064003_IR0002/ASASP_1/5MI64/viewer.html?&ns=FRAD064012_5MI64_0519.jpgFrame 519/1863
He got married in Mexico
http://gw.geneanet.org/patradi?n=camou&oc=1&p=jeanhttps://books.google.fr/books/about/Descendants_of_Jean_Pierre_Juan_Pedro_Ca.html?id=ldb5rQEACAAJ&redir_esc=yJean Pierre (Juan Pedro) Camou was born in 1823 in Asap, Basses-Pyrénées, France. He married Aglae Camou Candaudap, in 1852. They had ten children. He died in 1906 in Guayamos, Sonora, Mexico. Descendants and relatives lived mainly in Mexico, Arizona and California.
I couldn't find his birth record in 1823. There is a record for a Joseph CAMOU dit JUNCAS yet, son of Jean Laurent CAMOU dit JUNCAS and Catherine BASCOU (Frame 650/1863)
In Asap-Aros, marriage of Jean Laurent CAMOU dit JUNCAS and Catherine BASCOU in 1821
http://earchives.le64.fr/img-viewer/FRAD064003_IR0002/ASASP_1/5MI64/viewer.html?&ns=FRAD064012_5MI64_1103.jpgFrame 1103/1863
I checked if they had a son named Henri around 1830. Unfortunately, they don't.
http://earchives.le64.fr/img-viewer/FRAD064003_IR0002/ASASP_1/5MI64/viewer.html?&ns=FRAD064012_5MI64_0674.jpgFrame 674/1863
Birth record of Joseph Barthelemy CAMOU JUNCAS in 1827
Frame 685/1863
Birth record of Marie Anne CAMOU JUNCAS in 1829
Frame 695/1863
Birth Record of Pierre CAMOU JUNCAS in 1831
Frame 708/1863
Birth record of Paschal CAMOU JUNCAS in 1833
The family on Geneanet,
http://gw.geneanet.org/hcoig?lang=fr&pz=henri&nz=coig&ocz=0&p=jean+laurent&n=camou+juncasThe parents stayed in France but several children emigrated to Mexico.