I must begin with my standard disclaimer about Quakers and Quakerism. We are a non-creedal group, so there is no set of beliefs that are required to be a Quaker. Beliefs on a topic like the existence of hell will typically range the full spectrum of belief found in the larger society.
Along with the Church of the Brethren and Mennonites, Midwestern Quakers, by and large, share a few things with that segment of the Christian community which self describes as 'anabaptist' or “re-baptisers.”
Many Quakers speak of both heaven and hell as potential afterlife destinations, with heaven or some positive afterlife in the presence of God being far more commonly referred to in Quaker circles than hell.