DIOCESE OF BATON ROUGE CATHOLIC CHURCH RECORDS, Vol 18, page 459, has the following entries which appear to be part of your family:
Edgard Rodolphe Maye, son of Francois Maye and Marie Hymel, born 29 Mar 1890, baptized 24 May 1890 at St Philomena Church, Labadieville. Sponsors: Andre Sobert and Eliska Hymel.
Marie Evelia Maye, dau of Francois Maye and Marie Hymel, born 30 Jul 1891, baptized 15 Aug 1891 at St Philomena Church. Sponsors: Cletus Maye and Evelina Boudreaux.
The parents marriage is listed under a different spelling - Maiet. From Vol 18, page 439:
Francois Maiet, son of Narise Maiet and Josephine Fremin, married 27 Apr 1889 at St Philomena Church to Marie Himel, dau of Auguste Himel and Ulalie Gautreaux. Wit: Cleophas Fremin, Philomene Sobert, Auguste Gautreaux, Albert Gauthreaux.
Vol 8, page 413, has a baptism entry which may be your Francois (Frank): Neuville Francois Mayet, son of Narcisse Mayet and Josephine Fremin, born 21 Feb 1855, baptized 19 Mar 1855 at St Philomena Church. Sponsors: Francois Boudreaux and Marie Fremin.
Hope this helps.