>> In cars as in dogs, reliability is what matters.
I understand what you're saying, but not everyone believes this ethic absolutely. Reliability is great, but not everyone wants, strictly, an appliance. If all we want is reliability and nothing else, let's just all agree to buy Corollas and we can shut this site down. ;-)
So, here are some facts: The Mini brand is owned by BMW and the cars are built in England. The first gen engine was a Chrysler sourced unit, and around 2007 it switched to a Peugot. Check google for more info. All Coopers (a model) are available as naturally aspirated and turbo or super-charged versions.
More subjective info: The automatic transmissions have been problematic, especially the earlier ones.
My own thoughts and biases: Why in heaven's name would anyone want an automatic transmission with one of these? -- Mini is a premium brand (BMW's language) that happens to be small. The cars are built to last like my 1975 BMW 2002, whose life should be measured in decades, not miles. Yes, there will be things that break and need fixing, but... How can I describe this? My Lincoln, basic things just fall off the thing like a melting snowman... door handles fall off, the shifter knob goes flying across the interior, the cover on the trunk latch falls off, the buttons on the A/C are all broken, I could go on and on. Complete garbage in the long run. Meanwhile, my 1975 BMW still works, everywhere! Imagine a car that is really engineered, such that the threads on every bolt on the car haven't been overwhelmed by everyday use. Imagine...
This is the impression that I have of the Mini. Impression, but I don't have first hand experience. German cars may need to be fixed once in a while, but again, there is something to those vehicles that makes them desirable enough to maintain, and the simple basics don't break anyway.
As for giving this car to a daughter, only you can answer that. I'd want one for myself.