I added these notes.
From https://fasg.org/projects/henryproject/data/gottf000.htm
Possible spouse of Gottfried: NN of Bavaria, Agilolfing. (Wife of Gottfrid of the Alamannians)
Gottfried's connection to the Agilolfinger
Members of the ducal family of Bavaria were sometimes called Agilolfinger ["De genealogia qui vocantur Hosi Drazza Fagana Hahilinga Anniona isti sunt quasi primi post Agilolfingos qui sunt de genere ducali." Lex Baiwariorum, III, I, MGH Leg. Nat. Germ. 5.1: 312-3]. As noted above, Gottfrieds probable son Liutfrid is also called an Agilolfing in a late source. It has also been pointed out that one of Gottfried's son (Theodebald) was given the same name as one of the sons of duke Theodo of Bavaria, that the name of another son (Lantfrid) had the same first element as the name of one of Theodo's son (Lantbert/Lambert), and that Gottfried's Odilo is a variant form of the name of one of Theodo's daughters (Oda) [Eckhardt (1965), 77-9]. Also, Odilo gave his son the name Tassilo, also present in the family of duke Theodo, and Tassilo named two sons Theodo and Theodebert, the latter also being the name of duke Theodo's son and successor [ibid.]. Assuming that Zöllner's theory that Odilo was a son of Gottfried is correct, all of this points to a close relationship between Gottfried's sons and the Bavarian ducal family of duke Theodo. Thus, it is probable that either Gottfried or his wife was an Agilolfing.
But which was it? This is unclear. If the Agilolfinger were an exclusively patrilineal dynasty (and this is far from certain), then the Agilolfing status of Liutfrid would imply that Gottfried was also an Agilolfing. This was the view of Erich Zöllner, who referred to the Swabian "branch" ("Zweig") of the Agilolfinger [Z%C3%B6llner (1951), 263; Zöllner (1978), 105]. To Wilhelm Störmer it appeared that the connection went back to an earlier marriage (or marriages) [St%C3%B6rmer (1972), 22].
On the other hand, Karl August Eckhardt argued that Gottfried was descended from the previous Alemannian dukes (see below), and based on the Agilolfing connections of Gottfried's sons mentioned above, proposed that Gottfried was married to a daughter of duke Theodo of Bavaria [Eckhardt (1965), 77-9]. Störmer objected that this was not probable, because Gottfried died in 709, and Theodo not until 717×8 [St%C3%B6rmer (1972), 22]. Such chronological arguments based on death dates can be misleading, but it does seem likely that Gottfried and Theodo were in approximately the same generation. Thus, if Gottfried's wife really was a member of Theodo's family, then Christian Settipani's suggestion that she was a sister of Theodo seems more likely [Settipani (1990), 9 & n. 24, 10 (table)].
Ultimately, the situation is uncertain. Although the evidence of Agilolfing connections is good, there is simply not enough evidence to decide whether these connections came through Gottfried or through his wife.
