She's 'fond of' asking silly questions. [=she asks a lot of silly questions]
She has 'fond' [='cherished, warm'] memories of their time together.
She is still 'fond of' him. [=she still likes/loves him]
(..) have been built since time began. You can take my word for it. That's how things are. I've told you all this because... I've grown very fond of you. About like a son, in fact. I don't want to see you get hurt. When that deficiency bill comes up tomorrow, don't say a word. (..)1939 Mr. Smith Goes to Washington