When I look in the mirror I see my father and when I look at my daughter, I see myself. I hope she can do more with her genetics than I have managed with my own.
We share similar sentiments about ourselves...In my case however, it is a 'son' and much older than your beautiful little daughter.
Best wishes to you and yours.
Perhaps this is just the way it is made to be, parents hoping their children are better than themselves, children hoping they don't become their parents. Maybe both are directions of futility.
It's the Yin-Yang of things, perhaps?