Keats-Rohan seems essentially to agree with what you've posted, and cites Mathieu liberally. The other secondary source cited is Michael Bur, "De quelques champenois dans l'entourage francais des rois d'Angleterre aux XIe et XII siecles", in Keats-Rohan, ed., Family Trees (1997).
[snip]
The son [of Eudes & Basilie] Manasser also occurs as Walter. Fairly full account. In summary, married Galiena, had sons Bartholomew, Odo, Haimo and William. Manasser died 1178/9, succeeded by Bartholomew (dsp by 1194; his own article says d.1190). Heir by 1197 was Galiena, dau of his son William (Bartholomew's article says William d.1195), who married 3 times [details given]. Manasser also had c.1168 a nephew Manasser, eldest son of Odo de Compeng.