Beauden

It seems to me that it is much more likely that this name is a slight anglicisation of the French surname of Beaudin, which is a patronymic surname that is derived from the given name Beaudin. In turn, the name is a variant spelling of Baudin (which is pronounced exactly the same), which is a diminutive of the name Baud, as it contains the French masculine diminutive suffix -in:

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https://en.wikipedia.org/wiki/List_of_diminutives_by_language#French (in English)

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Baud (also found spelled as Beaud) is a medieval French masculine name. It is both the French form of Baldo as well as a short form of French names that contain the Germanic element 'bald' meaning "bold, brave", such as Baudry (from Baldric) and Baudouin (from Baldwin). The latter is also found spelled as: Baudoin, Bauduin, Beaudoin, Beaudouin, Beauduin, Bodoin, Bodouin and Boduin.

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Also compare Bodin (also found spelled as Boudin), which is a diminutive of French masculine names that contain the Germanic element 'bodo' meaning "command, order":

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https://fr.wikipedia.org/wiki/Boudin_(patronyme) (in French)

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Also see:

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- https://en.wikipedia.org/wiki/Beaudin (in English; this is about the surname)
- https://www.filae.com/nom-de-famille/Beaudin.html (in French; this is also about the surname)
- http://www.jeantosti.com/noms/b3.htm (in French; compare the descriptions of the surnames that start with Baud- with the surnames that start with Beaud-)
- Related surnames:
* Beaudoin: https://en.wikipedia.org/wiki/Beaudoin (in English)
* Beaudouin: https://en.wikipedia.org/wiki/Beaudouin (in English)
* Beauduin: https://www.filae.com/nom-de-famille/Beauduin.html (in French) and https://en.wikipedia.org/wiki/Lambert_Beauduin (in English).