I'm not related to either party and have no further information on them. I hope this information is useful in some way to people who are researching them.
Poulson's American Daily Advertiser; Tuesday morning, February 5, 1805, Page 3:
"MARRIED, last evening, by the Right Rev. Bishop White, PHILIP S. CHURCH, of New York, to Miss ANNE MATILDA STEWART, daughter of the late General Stewart, of this city."