Apparently Dule is a nickname for Theodule. Dule is buried in the Danahy-Henry Family Cemetery, Pine Prairie, Evangeline Parish, La. A clue was Dule's brother, Pierre Avis Vidrine, bn. Jun 22, 1894, died Jun 02, 1968, is also buried in the same cemetery. I looked for Pierre, who was the son of Pierre V. Vidrine, bn. Nov 29, 1869 and Celize ?, bn. Nov 1878 and there was Pierre's brother, Theodule, born April, 1898. From there, I was able to connect Theodule in an unbroken line to Jean Baptiste de Vedrines, born about 1633 and Francoise Gauthier, born about 1637.
You will find that one of your Pierre Vidrine ancestors fought in the Civil War.