Sweyn was Godwin's eldest son, although he claimed at times to be the son of the former King Cnut. His mother Gytha, a sister-in-law of Cnut, denied this.
Sweyn managed some international diplomacy on his own, making peace with Gruffydd ap Llywelyn, the King of Gwynedd in northern Wales, which helped Llywelyn against his chief Welsh rival, the king of south Wales. The two men invaded south Wales together, after which Sweyn made a less-intelligent decision.
Sweyn abducted the Abbess of Leominster, Eadgifu ("Edith"), in order to force her to marry him and gain control of the estates attached to Leominster. King Edward refused to approve this marriage and sent Eadgifu back to the abbey. Sweyn left England to escape any threat of punishment, traveling to Flanders and then to Denmark, looking for support.
He came back to England in 1049 to ask to be forgiven and be reinstated in his earldom. (Records suggest that he was forced to leave Denmark due to some unknown action on his part.) His brother Harold Godwinson and cousin Beorn, who had both received earldoms as well, opposed his return. (His former lands had been divided between them, and they did not want to relinquish them.)
Sweyn convinced Beorn to support him in his audience with the king, but along the way Sweyn thought one way to get his lands back was to have Beorn murdered. Sweyn was condemned and sent to exile. In 1050, however, he was apparently pardoned, because he returned to England.
This was not the end of Sweyn's story, but the conclusion is not just about him, but includes his father and the rest of the family. Tomorrow we'll see what Edward did about the entire Godwin family. (The illustration is of two of Godwin's sons fighting at the court of King Edward.)