From the near-contemporary chronicle of Adam of Bremen it is known that a Gunnhildr became married to Olof Skötkonung's son and successor King Anund Jacob (1022-c. 1050) at an unknown date.
[4] The scholion refers to a passage in Adam's main text which describes Gunnhildr as residing in Sweden in c. 1056, after her marriage with Sveinn II of Denmark ended.
This has been denied by historian Sture Bolin, who, basing himself on a close reading of Adam's text, regards them as two different individuals, of whom the Danish queen was Svein Håkonsson's daughter.
However, the later Danish chronicler Saxo Grammaticus and the Icelandic annals say that "the Swedish king", by implication Anund Jacob, had a daughter by the name of Gyda, sometimes also called Guda or Gunnhildr.
However, Saxo and the Icelandic annals are both late sources, and information about Gyda's parentage may ultimately go back to a misinterpretation of Adam of Bremen's text.
When finally Pope Leo IX dispatched a written request, Sveinn found reason to yield and gave his queen a letter of divorce.
Adam of Bremen calls her Sanctissima and describes her hospitality toward the missionary bishop Adalvard, who had been turned away from a Thing by King Emund the Old.
Adam tells that Adalvard was escorted to the queen's residence over mountainous terrain by the king's kinsman Stenkil, possibly from the Mälaren Valley to Västergötland.