How does going to Cambridge School for Young Ladies fulfill a childish wish of Helen’s?

From the text:

When I was a little girl, I visited Wellesley and surprised my friends by the announcement, "Some day I shall go to college—but I shall go to Harvard!" When asked why I would not go to Wellesley, I replied that there were only girls there. The thought of going to college took root in my heart and became an earnest desire, which impelled me to enter into competition for a degree with seeing and hearing girls, in the face of the strong opposition of many true and wise friends. When I left New York the idea had become a fixed purpose; and it was decided that I should go to Cambridge. This was the nearest approach I could get to Harvard and to the fulfillment of my childish declaration.