The name Thaylia is primarily a female name of Greek origin that means To Blossom Or Flourish.
In Greek mythology, Thalia/Thaelia is the eight born of the nine muses, a goddess who presided over comedy and idyllic poetry. Thalia is the daughter of Zeus and Mnemosyne.
Possibly from the word root thallo meaning "to blossom."
Famous Thalias include author Thalia Field, model Thalia Ayala, singer Thalia Zedek; singer Thalia Miranda, and water polo athlete Thalia Munro.
Thalia Menninger is a character in the classic TV series "The Many Lives of Dobie Gillis."