*Glismut of Saxony
(end of information)

father:
unknown

mother:
unknown

siblings:
unknown

spouse:
*Conrad Duke of the "Old" Franks
born 0845
died 0906
or
*Adalbert of Franconia
died 0906 Theres Castle (beheaded)

children:
*Conrad I Duke of Franconia King of Germany
born about 0890 Babenberg
died 23 December 0918 Germany
*Mathilda von Hesse born about 0899 Hesse, Germany
Eberhard of Franconia died after 0936 Babenberg

biographical and/or anecdotal:

notes or source:
ancestry.com
The reason for the two fathers is that Eberhard of Franconia was definitely
*Conrad of Franconia's brother (Encyclopedia Britannica).
However they are listed under different sources as having two different fathers.
Hence the confusion.