The Bishop of St. Andrews (Scottish Gaelic: Easbaig Chill Rìmhinn) was the ecclesiastical head of the Diocese and then, as Archbishop of St Andrews (Scottish Gaelic: Àrd-easbaig Chill Rìmhinn), the Archdiocese of St. Andrews.
The name St Andrews is not the town or church's original name. Originally it was Cellrígmonaid ("church of the king's mounth" hence Cill Rìmhinn) located at Cennrígmonaid ("head of the king's mounth"); hence the town became Kilrymont (i.e. Cellrígmonaid) in the non-Gaelic orthography of the High Middle Ages). Today St Andrews has replaced both Kilrymont (and variants) as well as the older English term Anderston as the name of the town and bishopric.
The bishopric itself originates in the period 700-900, and is the best attested bishopric in Scottish history. By the 11th century, it is clear that it is the most important bishopric in Scotland.

List of known abbots
It may be misleading to see "St Andrews" as the see of the earliest known later as bishops of St Andrews. Rather, it is likely that the "bishop of the Scots" may have been the only bishop in Scotland with no fixed seat, though many abbots there certainly were all over Scotland.