In 989 Archibishop Ælfstan aka Lyfing was appointed Abbot Chertsey Abbey.
Around 998 Archibishop Ælfstan aka Lyfing was appointed Bishop of Bath and Wells.
Anglo-Saxon Chronicle. 1013. The year after that Archbishop Elfeah was martyred, the king (age 47) appointed Lifing to the archiepiscopal see of Canterbury. And in the same year, before the month August, came King Sweyne (age 53) with his fleet to Sandwich [Map]; and very soon went about East-Anglia into the Humber-mouth, and so upward along the Trent, until he came to Gainsborough [Map]. Then soon submitted to him Earl Utred, and all the Northumbrians, and all the people of Lindsey, and afterwards the people of the Five Boroughs, and soon after all the army to the north of Watling-street; and hostages were given him from each shire. When he understood that all the people were subject to him, then ordered he that his army should have provision and horses; and he then went southward with his main army, committing his ships and the hostages to his son Knute (age 18). And after he came over Watling-street, they wrought the greatest mischief that any army could do. Then he went to Oxford [Map]; and the population soon submitted, and gave hostages; thence to Winchester, where they did the same. Thence went they eastward to London; and many of the party sunk in the Thames, because they kept not to any bridge. When he came to the city, the population would not submit; but held their ground in full fight against him, because therein was King Ethelred (age 47), and Thurkill with him. Then went King Sweyne (age 53) thence to Wallingford; and so over Thames westward to Bath, where he abode with his army. Thither came Alderman Ethelmar, and all the western thanes with him, and all submitted to Sweyne (age 53), and gave hostages. When he had thus settled all, then went he northward to his ships; and all the population fully received him, and considered him full king. The population of London also after this submitted to him, and gave hostages; because they dreaded that he would undo them. Then bade Sweyne (age 53) full tribute and forage for his army during the winter; and Thurkill bade the same for the army that lay at Greenwich [Map]: besides this, they plundered as oft as they would. And when this nation could neither resist in the south nor in the north, King Ethelred (age 47) abode some while with the fleet that lay in the Thames; and the lady (age 28)57 went afterwards over sea to her brother Richard (age 49), accompanied by Elfsy, Abbot of Peterborough. The king sent Bishop Elfun with the ethelings, Edward (age 10) and Alfred (age 8), over sea; that he might instruct them. Then went the king from the fleet, about midwinter, to the Isle of Wight [Map]; and there abode for the season; after which he went over sea to Richard (age 49), with whom he abode till the time when Sweyne (age 53) died. Whilst the lady (age 28) was with her brother (age 49) beyond sea, Elfsy, Abbot of Peterborough, who was there with her, went to the abbey called Boneval, where St. Florentine's body lay; and there found a miserable place, a miserable abbot, and miserable monks: because they had been plundered. There he bought of the abbot, and of the monks, the body of St. Florentine, all but the head, for 500 pounds; which, on his return home, he offered to Christ and St. Peter.
Note 57. This was a title bestowed on the queen.