Aebbe is from the Old English ebbe (low tide). Saint Aebbe of Coldingham (d. 683) was the Northumbrian princess, sister of Saints Oswald and Oswiu, kings of Northumbria — abbess of the great double monastery at Coldingham on the Berwickshire coast.
The headland she ruled is now called St Abbs Head.
Aebbe reduces to two — the number of Northumbrian abbess.