The couple had been together for six years - and married for five months - when she came to terms with her sexuality midway through creating the characters for the popular the Netflix series, reports.
After the pair had separated, she fell in love with one of the stars of the show, Samira Wiley, famed for her role as the loyal Poussey Washington.
The couple made their first public appearance together at the Emmy Awards at the end of August.
Morelli officially came out in May 2014.
Writing for Mic.com, she said that she had used the storyline of Season Two, which saw the characters Piper (Taylor Schilling) and Alex (Laura Prepon) fall back in love with each other, to explore her own feelings.
'In Piper and Alex, I'd found a mouthpiece for my own desires and a glimmer of what my future could look like.
'And once the show actually started filming, there was no question how she really felt.
'I realized[sic] I was gay in fall 2012, one of my first days on the set.
'I went through it all on set: I fell in love with a woman, and I watched my life play out on screen. And now, as we are gearing up for the release of Season 2, it feels liberating and appropriate to live my life in front of you.'
Far from a bitter divorce settlement, Basilone, a TV producer, described Morelli as his 'best friend' and encouraged fans to watch Orange Is The New Black. The documents published by TMZ also reflect that the couple parted on amicable terms, and have already equally divided their property.
The news comes weeks after another of the show's stars, Lea DeLaria, who plays 'Big Boo on the show, told The Independent it was high time society ended the negative stigma associated with 'being a butch lesbian'.
'Being butch is still a dirty little secret, but it's how some of us are,' she said.
'We can't forget where we came from. We need to put a positive face on it and it all comes from this international homophobia, that are only certain things are good; that you can't be that type of lesbian. It's important for me to communicate that there's nothing bad about being gay.'
Read the interview in full here.
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