I've extracted the differences between 'Rector' and 'Vicar', both are priests of fairly low ranking in the CoE.
Possibly the 'Rector's Ticket', where it existed, was part of the tithe in certain parishes. As tithes have been abolished, the rector should know where to shove his cheeky ticket requests.
GENUKI: Hierarchy of the Church of England in the 1820 period and later.
RECTOR
•A parish incumbent whose tithes are not impropriate. Tithes were paid to the parson, often by the action of the lord of the manor who by this means obtained the endowment to build a church on his estate.
•When entitled to the whole tithes of the parish, the incumbent was called a Rector.
VICAR
•Vicars used to be entitled to the small tithe and a portion of the glebe. These were allocated by an appropriator.
During the early 20th century, tithes were abolished.
•As a parish priest the vicar had the same spiritual status as a rector and the forms of institution and induction are identical since in both cases he holds his full spiritual jurisdiction from the bishop. He also holds the freehold of church, churchyard, vicarage and glebe.