Berengario's children don't include an Otto/William: http://fmg.ac/Projects/MedLands/NORTHERN%20ITALY%20900-1100.htm#Ber.... Removing Otto or William as his son, pending Sources being added.
'''BERENGARIO d´Ivrea''',
son of ADALBERTO I Conte e Marchese d'Ivrea & his first wife Gisela di Friulia ([900]-in prison Bamberg 6 Jul 966, bur Regensburg).
x ([930/31]) '''WILLA d’Arles''', daughter of BOSO Comte d’Avignon Marchese of Tuscany & his wife Willa --- ([910]-Bamberg after 966).
1. ADALBERTO d´Ivrea ([932/936]-Autun 30 Apr 971[545]).
2. GUIDO d´Ivrea ([940]-killed in battle on the Po 25 Jun 965).
3. CORRADO CONO d´Ivrea (-[998/1001]).
4. GISLA d´Ivrea .
5. GILBERGA d´Ivrea (945-).
6. ROZALA [Suzanne] d´Ivrea ([950/960]-13 Dec 1003 or 7 Feb 1004, bur Gent, church of the Abbey de Saint-Pierre du Mont-Blandin).
7. [BERTA . The primary source which confirms her parentage has not yet been identified. Abbess of San Sisto at Piacenza 952.]