The single actress became the legal guardian of little Gemma Rose Davis last year (11) after filing her application through a U.S.-based adoption agency.
Davis' character in the hit TV and movie franchise also had a daughter called Rose, but the 47 year old insists her decision was not deliberate - she has just always loved the name.
She tells U.S. newsman Anderson Cooper, ""I had totally forgotten that on Sex and the City I also had a child named Rose and since I did this whole thing in secret I didn't talk to anybody about the naming or the adopting at all and I didn't realise the connection.
""Then we announced and everybody was like, 'Oh, she named her after her Sex and The City baby'. I didn't even consciously (realise it), not at all, not at all. I almost named her Rose as a first name because I kept thinking it's such a beautiful name. Isn't it weird? I think it was lodged unconsciously.""
Davis also reveals she has no imminent plans to adopt a second child, adding: ""I had never thought about it because I was so kind of worried about the first. Once she came I was like, 'Hey I can do this, this is OK.' So I mull it over, but because I'm a single mom, I want to focus on her and make sure I'm doing a good job first.""