I think Peverel sr's wife is just Adeline Unknown, no dates, no parents.
CP says her daughter Adelise was living 1156 although her husband Richard de Redvers died 1107, which helps to guess dates.
MedLands has the wrong CP ref for Peverels, it's Volume 4, appx I, p.761ff.
Everything else about Adeline comes from confusion with Peverel jr's obscure 2nd wife, who called herself Avicia de Lancastria in one undated charter concerning the church of Bolsover. Nothing is known about her either.