In an emotional series of postings on Internet site Twitter, Lisa Moorish wrote: 'In Response [sic] to an article today involving my daughter; 14 years ago I had a 2 year on/ off relationship with a man from Manchester as a result of that I became pregnant and had a beautiful daughter.'
She continued: 'The man from Manchester was very angry that I decided to go ahead with the pregnancy and decided to stay out of her life.
'I felt sad about it but accepted it. He agreed to pay his way.
'My only wish is that she has a good relationship with me and her father which is between them and I would NEVER get in the way.
She began dating Gallagher before he married Miss Kensit in April 1997. The pair then rekindled their affair a week after the wedding and Molly was born the following year.
Miss Moorish initially claimed the father was Elastica drummer Justin Welch.
However, in December 2000, following his divorce from Miss Kensit, it emerged that Gallagher was paying £2,000-amonth in child maintenance.
Explaining why he does not see Molly, Gallagher told the Sunday Times Magazine: 'As she was growing up, I thought it was the best way, instead of having me popping in and arguing with the f*** ing woman [Miss Moorish].
'She knows where I am and I'm there for her if she needs anything, like I have been since she was born, financially.
'I know it's not about that but it's better than nothing.'