Admittedly, I didn't follow it that closely, so it probably was explained somewhere, but she is Hunter's daughter, right? Hunter, born in 1930? Lucretia looks between 25 & 35 in 2030, meaning she'd have been born circa-late-90's or early-00's.
Hunter had her at an advanced age? She had some kind of life-prolonging treatment at some point (pre-credits), too? What's the go?