Hugo von Burgund, Bishop of Lausanne

http://fmg.ac/Projects/MedLands/BURGUNDY%20KINGS.htm#RudolfIIIdied1032

RUDOLF III King of Burgundy had one illegitimate child by Mistress (1):

a) HUGUES (-31 Aug 1038).

• The Gesta Episcoponum Lausannensium records the death "II Kal Sep" of "Hugo Lausannnensis episcopus, filius regis Rodulfi", specifying that he was elected Bishop of Lausanne in 1019, held the post for 19 years, and was buried next to his father in Lausanne Cathedral[235].
• The Catalogi Abbatum Sancti Eugendi Iurensis names "Rudolfi regis Teutonum et in partibus Galliarum…per Burchardum fratrum suum archiepiscopum et per filium Hugonem Gebennensem episcopus et alium Hugonem Gebennensem episcopum et Rotbertum comitem Gebennensem" with the date 1020[236].
• The cartulary of Notre-Dame de Lausanne records the death "II Kal Sep" of "Hugo Lausannensis episcopus filius regis Rodulfi" after holding the bishopric for 19 years[237].
• The necrology of Lausanne records the death 31 Aug of "dns Hugo episcopus Laus. filius regis Rodulphi"[238].

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Medlands says Kunzia is "neptis" of Rudolf but the literal translation is "grandchild" and as Rudolf had no children the the relationship must be less direct than is shown here.

http://fmg.ac/Projects/MedLands/BURGUNDY%20KINGS.htm#KunizaMGerhard...

A relative of Rudolf III King of Burgundy, the precise relationship is unknown: 1. KUNIZA . She is recorded in Europäische Stammtafeln as neptis of RUDOLF III King of Burgundy[245] but the primary source on which this statement is based has not yet been identified. 1038. m GERHARD [I] Graf von Egisheim, son of HUGO [VIII] Graf im Nordgau und zu Egisheim & his wife Heilwig --- (-killed in battle 1038).

http://en.wikipedia.org/wiki/Rudolph_III_of_Burgundy

Rudolph III of Burgundy

Rudolf III of Burgundy (called Rudolf der Faule in German, and Rodolphe le Fainéant meaning sluggard or do-nothing or - le Pieux the Pious in French) (993 – September 6, 1032) was the last King of an independent Burgundy. He was the son of Conrad, King of Burgundy and the last male member of the Burgundian group of the Elder Welfs family.

Life

Rudolf's reign was marked with turbulence. Unable to placate the increasingly powerful nobility, he also had to deal with encroachments of power on the part of Otto-William, Count of Besançon until 995, and duke of Burgundy thereafter, as well as Henry II, king of Germany. Henry succeeded in forcing Rudolf to name him as his successor in 1016. When Henry died, the new king, Conrad II, also forced Rudolf to make him his heir. Rudolf died in 1032, at the age of thirty-nine, with no surviving issue; Conrad claimed the Kingdom of Burgundy and incorporated it as a third kingdom alongside Germany and Italy within the Holy Roman Empire. [edit]Sources

Gwatkin, H.M., Whitney, J.P. (ed) et al. The Cambridge Medieval History: Volume III. Cambridge University Press, 1926.