Where does the Parson fit in?

A good religious man, A Parson of a Town, is next described, who, although poor in goods, is rich in holy thought and work. He's a learned man, who truly preaches Christ's gospel, and devoutly teaches his parishioners. He travels across his big parish to visit all of his parishioners, on his feet, carrying a staff in his hand. He is a noble example to his parishioners ('his sheep', as they are described) because he acts first, and preaches second (or, in Chaucer's phrase, 'first he wroghte, and afterward he taughte'). The narrator believes that there is no better priest to be found anywhere.

For a detailed look at each of these character, simply follow the link provided below to access Gradesaver's summary of the prologue. In thie summary, you will find the order (from highest to lowest) or status of each of the pilgrims. I assume that this is what your question refers to as far as "fitting in." Chaucer's pilgrims represent the different rungs of English society. The summary will supply you with this information in order of importance.