Lily Tomlin marries partner of 42 years

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Show-stopping actress and comedian Lily Tomlin and her partner of 42 years, Jane Wagner, were married in a private ceremony in Los Angeles on New Year's Eve, Tomlin's rep confirmed to PEOPLE on Tuesday.

"They're very happy," says the spokesperson, Jennifer Allen.

Besides their relationship, the couple's many celebrated collaborations, written by Wagner, include Tomlin's Tony-winning one-woman show The Search for Signs of Intelligent Life in the Universe, which played Broadway, toured and was filmed for the screen, as well as the movie The Incredible Shrinking Woman.

Wagner, 78, was born and raised in Morristown, Tennessee. Tomlin, 74, is from Detroit. It has been reported that the two met when Tomlin was looking for a collaborator to help her develop the character of the wicked child Edith Ann.

News of their marriage was first reported by the veteran columnist Liz Smith, who wrote, "[M]y longtime friends, Lily Tomlin and her love, the writer Jane Wagner, got married on the eve of 2014. ... My wish is that their happiness will be as great as their combined talents."