Adalbert I, son of Duke Conrad I of Zähringen, inherited his father's Swabian possessions around Teck Castle between Kirchheim and Owen.
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When his brother Berthold IV died in 1186, he inherited the family possessions in the foothills of the Swabian Jura, including Teck Castle and the office of Cup-bearer of the Abbey of St. Gall and the area on the upper Neckar that went with this office.
When the Roman court persisted in this "interference", Adalbert marched on the eternal city, forced John VIII to take refuge in the St Peter's Basilica, and forced the Roman citizens to swear fealty to Carloman.
In the 13th century, the family divided into the lines of Teck-Oberndorf and Teck-Owen.
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His descendant Duke Conrad II upon the death of King Rudolph I of Germany in 1291 even became a candidate for the election as King of the Romans, but probably was slayed by his opponent Siegfried of Westerburg, Archbishop of Cologne, the next year.