Jane experiences many things in the novel. She is physically abused as a child by her aunt and cousin. While she acquires friends at school (Lowood), she also suffers quite a bit. Finally, she marries the love of her life, Edward Rochester, whom she first met at Thornfield Hall. From this perspective, we can say that Jane's coming of age experience was an experience of suffering and falling in love.
When we come to To Kill a Mockingbird, we are dealing with a girl who is much younger. Scout is only six at the beginning of the novel and at the end she is only 9. If we say that Scout is writing from the point of view of an adult, then we can say that she learned one valuable lesson that made her more of an adult. She learned that not all is right in the world. Things are not as they should be. There is racism and injustice. The death of Tom Robinson is the main example.
From this perspective, both Jane and Scout at an early age learned that the world was partly about suffering and injustice.