The Orihola-Alacant/Orihuela-Alicante bishopric has replied... the parish (parroquia) records for Tàrbena are to be found at:
Parroquia de Santa Bàrbara
C/. Major s/n
03515 Tàrbena - Alacant
Spain
See also the Oriola/Orihuela Cathedral Archives
Director: José Antonio Martínez García
Catedral de Oriola
C/ Major s/n
Oriola 03300 Alacant
archivocatedralorihuela@telefonica.netTel. +34 965 304 828
Good luck!