I think she started with the name Leslie Hornsby.
She’s been around long enough to have been married a few times.
From wikipedia
Twiggy married American actor Michael Witney in 1977. Their daughter, Carly, was born in 1978.[19] They remained married until his death in 1983 from a heart attack.[57]
She met Leigh Lawson in 1984.[3] In 1988, they worked on the film Madame Sousatzka and married that year in Sag Harbor, New York (on Long Island). The couple reside in Kensington, London[58] and own a home in Southwold, Suffolk.[59][60]