The 23 year old became a mother to Astala in April (12), and married the tot's father, musician Thomas Cohen, in September (12).
Geldof admits the wedding was important to her because of her own experience as a child of a broken home following the breakdown of The Boomtown Rats star's marriage to the late Tv presenter.
She tells Britain's Elle magazine, "(Astala's) birth was like a rebirth for me, and I honestly never thought anything in my life would ever be good. I'm obsessed with getting it right. The second I held him it was like this missing piece of my life being put into place; everything started to heal.
"The very worst thing that happened to me started with my parents' divorce, it really affected the rest of my life. Even if it's an archaic idea I want Astala to have a mummy and daddy together forever. It's a commitment. I want to be a good wife, a good mother, a good person."
Opening up about how she handled her parents' mid-1990s split, Geldof adds, "My parents had gone through a very public, bitter divorce and I was very much old enough to see what was going on. People talked about us and I knew it was horrendously bad.
"I was completely aware of the whole situation, the transition of my mother who was amazing... who then turned into this heartbroken shell of a woman who was just medicating to get through the day.
"On top of that, there was my father who was very embittered and depressed about it and for us children, an environment that was impossible, veering between a week with my mother that was complete chaos, and then with my father, which was almost DICkensian - homework, dinner, bed - because he was trying in his own way to combat what was going on at my mother's.
"It was like living on a permanent see-saw and very scary and sad. Those feelings have always stayed with me, they just never went away."
Yates died from an accidental heroin overdose in 2000.