Bishops and Borders

Burhard born c. 960
Zuffrey, 77 Son of King Conrad and Aldiud born between 960-965 (note 58)
Archbishop of Lyon: 978
Zuffrey, 77 (978-979) (note 59 -- F. Gingins-la-Sarraz, Le trois Bourchard, p. 11-15.
Provost of Saint-Maurice: 979-983
Abbot of Saint Maurice: 1001
Zuffrey, 77 (note 61) Burcardus Lugdunensis ecclesie archiepiscopus et abbacie almi Mauricii abbas D. 149 (1001) p. 330, also D. 163 (1000-1025), D. 169 (1000-1031), and D. 170 (1000-1031).

Son of Alduid and Anselm
At council of Anse 994
died. 16 Jan 1026, Obituary of S. Ours, Aosta, MPH Scriptores III, 519)
At death County of Aosta in the hands of Humbert Whitehands.
- Early History of Savoy
14 Jan 1026 (14 not 16 listed at: http://www.gcatholic.org/dioceses/diocese/aost0.htm -- also listed as such in Zuffrey, 78 (note 66; G. de Manteyer, page 468ff)
Zuffrey, 77 (note 64) by 1001 this power transferred from the Bishop of Lyon. Cites G. de Manteyer, ibid page 468 Text and Amm 1 and R. Walpen, ibid pg. 40 Text and Amm 2 - in particular page 79.
1001-1026

Also:
17 June 1025 in Le fonti per la storia della Valle d'Aosta, Volume 1, Part 1, p. 291

Le fonti per la storia della Valle d'Aosta, Volume 1, Part 1, p. 291

Son of Anselm and Alduid
Early History of the House of Savoy, 68

According to Zuffrey - died June 1030 p. 77 (or June 1031)
Note 62: following G. de Manteyer, Les origines de las Maison de Savoie, pp. 473 and R. Poupardin, Le royaume de Bourgogne, pg. 156 (Amm. 1).

"mort le 22 juin 1033" https://fr.wikipedia.org/wiki/Burchard_II_de_Lyon & Jacques Gadille, René Fédou, Henri Hours, Bernard de Vregille, S. J., Histoire des diocèses de France. 16 : le diocèse de Lyon, Paris, Beauchesne, Paris, 350 p., (ISBN 2-7010-1066-7)

22 June 1033
"mort le 22 juin 1033" https://fr.wikipedia.org/wiki/Burchard_II_de_Lyon & Jacques Gadille, René Fédou, Henri Hours, Bernard de Vregille, S. J., Histoire des diocèses de France. 16 : le diocèse de Lyon, Paris, Beauchesne, Paris, 350 p., (ISBN 2-7010-1066-7)

Bishop of Aosta: 1022-1036
Bishop of Aosta 1025-1022 (Son of King Conrad of B and Alduid
https://fr.wikipedia.org/wiki/Burcard_d%27Aoste#cite_note-7)
10 March 1026
↑ Article de Cyrille Ducourthial, « Géographie du pouvoir en pays de Savoie au tournant de l’an mil », paru dans Christian Guilleré, Jean-Michel Poisson, Laurent Ripart et Cyrille Ducourthial, Le royaume de Bourgogne autour de l'an mil, Université de Savoie, coll. « Sociétés, Religions, Politiques »,‎ 2008, 286 p. (ISBN 978-2915797350), p. 223 et suivantes.
1026-1039 (or 1031). Zuffrey, 152. From the list of Provosts for Saint-Maurice

Provost of Saint-Maurice d'Agaune: 1022-1031

Archbishop of Lyon: 1033-1045, Wolfram, p. 245 -246. (or 1031-1036: Early History of the Savoy, 68)
From Wolfram
"Like his two like-named predecessors, Burchard III was closely related to the Burgundian king. He began his ecclesiastical career as the bishop of Aosta and during the abbacy of his uncle and immediate predecessor as archbishop Burchard II, served additionally as the prior of the wealthy monastery of Saint-Maurice d'Agaune in the present-day canton of Valais, Switerzerland. After Burchard of Lyon dies in the summer of 1031--predeceasing his brother Rudolph III of Burgundy by one year--the younger Burchard sought to succeed his archiepiscopal uncle. The count of Lyon viewed the royal candidate as a threat to his interests and countered by nominating his own--very young--son for the office. Burchard III behaved in such an ungodly manor as the bishop of Aosta--his evil reputation is recorded in chronicles penned at such diverse monasteries as Reichenau and Cluny (note 40; have looked at both of these texts, one downloaded the other ILL)--that reformers tried to convince Abbot Odilio of Cluny to accept the post. They gained the support of no less than Pope John XIX, who excoriated Odilio for proposing to ignore the results of the election and sent him the pallium and the bishop's ring. The abbot accepted the insignia, planning to hand them over once a worthy candidate had been chosen, but in Cluniac fashion, declined to move to Lyon. (note 41) By 1034 Burchard's hold over the metropolitan see was uncontested, even if he had not obtained the pallium and ring from either Rome of Cluny. Along with Count Gerald of Geneva, the archbishop of Lyon was one of the last holdouts against imperial troops that summer. However, in 1036, a war broke out between Burchard III and Udalrich over regional rivalries, not at Conrad's command, even though the archbishop continued to oppose the emperor and his removal might have served imperial interests. Burchard's capture in 1036--and more important--Odo's death in 1037 cleared the field." (note 42) "As one scholar put it, 'We know next to nothing about Conrad's rule of his Burgundian kingdom." (note 46) But did he in face ever "rule" Burgundy?" (Wolfram, p. 246)

1036-1039?: Burchard III, Archbishop of Lyon, imprisoned by Conrad (brought in by Udalrich)
Henry III allowed him to return (similar, Wolfram says, to how the Milanese AB was handled. p. 245) On the condition that he retire to: l'Abbaye territoriale de Saint-Maurice d'Agaune ( Alessandro Barbero Valle d'Aosta medievale Liguori Editore, Naples (2000), p. 8

Abbott of Saint Maurice 1057-1067 (or 1068, Early History of the Savoy, 68)

Zuffrey, 77:
"Nach ansicht von G. der Manteyer, der sich auf eine Urkunde stutz, deren Abfassungsdatum nicht gesichert scheint, soll Anselm als Bischof von Aosta in Jahre 1023 die graeflichen Rechte under seine Diozese erhalten haben."

Le fonti per la storia della Valle d'Aosta, Volume 1, Part 1, p. 291