According to the profile notes, Adélaïs de Nesle and Adèle de Soisson aen't the same woman / wife. It shows Adelais as his 4th wife with only one child and Adele as his 2nd wife and mother of most of his children. This Geni profile has made Adelais and Adele into one person with Soissons parents meant only for Adele de Soissons. Matilde de Brienne, according to the profile notes wouldn't be Adele's daughter or a Soisson descendant bur rather a daughter of Adelais de Nesle whose parents I have no info on.
Adélaïs de Nesle
Fourth wife of Gaultier II. Only child:
1.Matilde de Brienne married with Guilherme de Saint-Omer.
Adèle de Soissons (? — 1137), daughter of Jean I de Soissons (1085 - 1110) and Aveline de Pierrefonds.
Second wife of Gautier II. Issues:
1.Erard II de Brienne, married with Inês de Montfaucon, daughter of Guilherme III de Nevers (1110 - 1161) and Ide de Sponheim.
2.André de Brienne, Seigneur de Rameru married with Adélaïs de Venisy.
3.Guy de Brienne (? — 1143).
4.Eustache de Brienne.
5.Jean de Brienne (? — 1191).
6.Marie de Brienne.
7.Adélais de Brienne.
8.Félicité de Brienne.
9.Elvide de Brienne married with Barthelmy Seigneur de Vignory.
10.Mahaud-Alix de Brienne married wit Foulques II de Choiseul, Seigneur de Choiseul.
- - -
lists the two wives of Gauthier II as Adélaïde Humbeline de Baudémont and Adele de Soissons, with no wife named
Adélaïs de Nesle conected to him.
https://pt-m-wikipedia-org.translate.goog/wiki/Gualt%C3%A9rio_II_de...
has his wives as those connected here on Geni and no wife named Adélaïs de Nesle so I don't know where the info on her being the mother of daughter Matilde de Brienne is from.
AND
https://thepeerage.com/p11993.htm#i119925
which is using Burke's Peerage as their source lists his wives only as:
Humbleline (?)1 and Adeliz de Baudemont,
giving no maiden name for Humbleine and no Soissons or de Nesle wives.
It's interesting that here on Geni, they have one wife who it seems has been made the receipient of a bunch of names trying to make it all fit - naming her: Adélaïde Humbeline de Baudémont, of which only the 'Humbeline' part matches Burke's reference to her. There are no notes or sources in her profile to explain her name and family connections:
Adélaïde Humbeline de Baudémont
All that said, all I can determine is that Gauthier II had a wife named Humbleline whose maiden name and family connections that are unknown / unproven and that he was also married to Adele de Soissons.
I'm not going to try to fix all the names and connections here on Geni, just pointing out what I noticed when tracing a line to Adele de Soissons brought me here and I ran into the variations on Guatheri II's wives.