Here is what I saw somewhere else:
"However, in October 2006, she began dating Jack Huston. In April 2007, they became engaged, and married on October 28 2007. In August 2008, Deeley gave birth to the co16d0uple's first child, Emma Louise Huston. On June 9 2010, it was announced that Cat and Jack were separating, with Jack citing the need to concentrate on his acting career, and they divorced in March 2011."

She doesn't have a daughter.