Foster: Hartman, Samuel, s. Paul, of Shillingford, Berks, cler. Gloucester Hall, matric 14 July 1695, aged 15; BA from Christ Church 1699, MA 1703, petty or minor canon; vicar of Daventry, Northants, 1707, and of Badby 1708, until his death; buried there 22 June 1716. See Foster's Index Eccl.
There doesn't appear to be any evidence in the sources that he was a chaplain (minor canon) of Christ Church. ST.