Did the Pilgrims hope to reform the Catholic Church?

Answer 1

The "pilgrims" at Plymouth Colony were Separatists; they had given up on the idea of reforming the Church of England and wished to separate themselves from it.

The colonists of Massachusetts Bay Colony (founded ten years later) were Puritans; they believed that the Church of England could still be reformed ("purified"). However, they did not think of themselves as "pilgrims"; the Massachusetts Bay Colony was primarily a business venture.

Answer 2

The Pilgrims hoped to reform the Anglican Church also known as The Episcopal Church in the United States.