A recent enquiry on our Contact page asked about non-theism and Quaker marriage.
See this comment for details but see also the recent publication on Quaker marriage from Friends’ House here: http://www.quaker.org.uk/blog/what-to-expect-from-a-quaker-wedding
Nontheist Friends Network 
I have attended Quaker weddings in Canada where the couples have written their own statements of commitment. Maybe Hannah and Tom could get married in another Yearly Meeting?