We have "Bohall", "Bouval" and "Bowhall" well documented all the way back in the early 1400s in France, and back to about 575 AD in Brittany. Check out BOHAL ~ that family/house was usually headed by a guy named Jehan or Henry Bohal for centuries. Sometimes they called themselves "The Bot of Bohal"
The family relocated from Northern Cornwall about 541 AD when King Ad gave their estates to his new Saxon allies. Big scandal. At the time that area was called BOXALL in Runic Letters (that "x" meaning "h" these days). They'd arrived earlier in the British isles from Carvajal (Northern Spain) some time in the 6th or 7th century BC).
In 1420 a fellow showed up about 75 miles East in Anjou named Jean Bohalle/Boughalle ~ he was segravier to Jeanne d'Laval, wife of Rene of Anjou. His uncle was also named Jean Bohall and he was the Chancellor of the old University at Anjou. Rene of Anjoy was also "Cardinal d'Beauvais, and you pronounce that "Boha" ~ for what that's worth. There are a gazillion places in Eastern Brittany and Normandy named "Bohall" in a variety of spellings.
History shows that when Rene was kidnapped and held for ransom by the Duke d'Boulougne Henry Bohal loaned the French crown the equivalento of $50 million in gold to bail him out. This later Jean Bohall is identified as a "tax collector" ~ it took the French most of a century to pay back the loan! Obviously this is the exact same family!
It's a fairly simple name ~ not at all related to "Bohill" and its forms which mean something entirely different.