There should be no connection between LaBarre and LaBauve, unless you expect something through wedding.
LaBauve in fact comes from the French name de la Bauve which, as far as I have been informed, was probably a Feudal land named Bauve. The land lord was the Seigneur de la Bauve. When came the revolution, the de la Bauve would have left France and some dropped the "de" from their name and the la Bauve changed into LaBauve to escape the revolution attacks to the "Nobles"
In 1510, one of the de la Bauve was granted by the King for services to the crown, the land of Arifat and thus Nicolas de La bauve became Earl of Arifat. I am descendant of this branch whose elder son went to Mauritius and remained during the revolution.There are now a good lot of de LaBauve or de Labauve d'Arifat living in Mauritius.
On the other hand LaBarre which in France is also Labarre is a more common name as Labaume, Leroy, Dupont, Duval, Deschiens etc...
I am staying some days in Mauritius to prepare our move from Brazil.
All the best from Jean de Labauve d'Arifat