Becket began ballet lessons at age 14, which eventually led to performances as a ballerina. She was in the corps de ballet at Radio City Music Hall and on Broadway she appeared in Show Boat, A Tree Grows in Brooklyn and Wonderful Town. Later, she took her one-woman show across the country, performing in small theaters and school auditoriums.
The theater was part of a company town designed by architect Alexander Hamilton McCulloch and constructed in 1923-1925 by the Pacific Coast Borax Company.
The U-shaped complex of Mexican Colonial-style adobe buildings included company offices, a store, a dorm, a 23-room hotel, dining room, lobby and employees" headquarters. At the northeast end of the complex was a recreation hall used as a community center for dances, church services, movies, funerals and town meetings
Becket rented the recreation hall, then known as Corkhill Hall, began repairs and changed the name to the Amargosa Opera House. In 1970, journalists from National Geographic discovered Becket doing a performance at the Amargosa Opera House without an audience.
Their profile and another in Life led to an international interest in Becket and her theater.
She began performing to visitors from around the world, including such notables as Ray Bradbury and Red Skelton. In recent years, Becket dropped the dancing to perform weekly The Sitting Down Show. Becket ceased performing in her Amargosa Opera House at the end of the 2008-2009 season but began performing again in 2010.
Her final show was February 12, 2012.
Becket has occupied the theater since 1968 and personally created the murals and sets. The performances have been the sole source of income for both the Opera House (now owned by Marta"s non-profit organization) and the entire town.