I do not believe her name was Agrippina, but she was compared to a early "Agrippina" by Sidonius Apollinaris...
https://fr.m.wikipedia.org/wiki/Car%C3%A9t%C3%A8ne
Describe The Record (Notes)
Carétène (in Latin: Caretena) is a queen of the Burgundians, wife of King Chilpéric II1, born between the years 452 and 455, died under the consulate of Ennodius Messala in 5062.
Carétène
Title
Queen of the Burgundians
Biography
Title Queen of the Burgundians
Birth around 455
Death September 16, 506
Lyon (?)
Spouse Chilpéric II
Children
Clotilde (Chilpéric Ii)
Sigismond (Gondebaud)
Godomar (Gondebaud)
Gondioque (?)
Religion Nicene Christianity
According to the Lyon historian Antoine Péricaud, Carétène was the wife of King Gondioc and the mother of King Gondebaud3, while for Alphonse de Boissieu, another Lyon scholar, she was the wife of King Chilperic with whom she had their daughter Clothilde, future wife of Clovis, and upon Chilperic's death her brother Gondebaud took her under his protection4.
Sidonius Apollinaris celebrated the virtues of the pious Caretene, comparing her to Tanaquil, wife of the King of Rome Tarquin the Elder, and to Agrippina the Elder, wife of the Roman general Germanicus, two Roman women who strongly influenced their husbands5,6.
She died around the age of fifty, on September 16, 5067. She is buried in the church she had built in Lyon in honor of Saint Michael the Archangel, also known as Saint-Michel d'Ainay, a church that no longer exists today3, and where one could read her epitaph composed of twenty-six lines:
