He appears to have been attached to the chapel of the Sardinian Embassy on Lincoln's Inn Fields in London.
He certainly attended at the execution of the Scottish Catholic nobleman, Lord Lovat, on Tower Hill on 9 April 1747.
Baker's works were mostly guides for meditation for the proper reception of the Blessed Sacrament and on the liturgical seasons of the Church year.
[1] Baker encouraged the reception of the Blessed Sacrament by the laity as often as possible but recognized that, due to the lack of Catholic clergy in Britain in that era, this could be sporadic at best.
His works provided the faithful with models for worship on the various Sundays through which they could participate in the liturgical life of the universal Church.