From FMG Medieval Lands database:

ADALMODE de Limoges . The Chronicle of Adémar de Chabannes records that "Aldebertus frater [Helias Petragoricensi comite]" married "sorore Widonis vicecomitis"[1636]. Ademar records the second marriage of "Adalmode coniuge…Aldeberti" to Duke William[1637].

The Chronicle of Petrus Malleacensis records that Adalmodis was wife of Boson Comte du Périgord and daughter of "Candida", for whom Duke Guillaume promised to expand "fluvium Rhodanum Regni" in return for marrying her daughter[1638], but this is not consistent with the other sources. According to the Chronicle of Maillezais, Adalmode was the daughter of Adelaide d'Anjou (presumably by her first husband Etienne de Brioude/Gévaudan), and also widow of Boson Comte du Périgord (brother of Comte Audebert [I], whom he survived by several years). Thierry Stasser has shown that this is incorrect[1639].

m firstly ([990]) AUDEBERT [I] Comte de La Marche et du Périgord, son of BOSON [I] "le Vieux" Comte de La Marche & his wife Emma de Périgueux (-killed in battle near Gençay 997, bur Carroux).

m secondly ([997]) as his first wife, GUILLAUME V Duke of Aquitaine [GUILLAUME III Comte de Poitou], son of GUILLAUME IV "Fier-à-Bras" Duke of Aquitaine [GUILLAUME II Comte de Poitou] & his wife Emma de Blois ([969]-Maillezais 31 Jan 1030, bur Maillezais, Abbaye de Saint-Pie).