At what point can of my fiance's application process, can she petition for me to stay in the U.S.?

Question Details: My fiance UK resident and former holder of an expired green card is going through the process of a new green card application filed by her 26 year old son U.S. citizen and so far has her I-130 receipt and is about to file her adjustment of status form. I am here in the U.S. with our 6 year old daughter until October. Can she start to petition for me now? If not at what point can she start the process? And will I have to return to the UK first or is it possible for me to stay in the U.S.?

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