Max,
It's just a name, at least now you know who you are and that's a good thing.
There certainly are some noteworthy Bancroft's such as George the historian and Bancroft Gherardi the Admiral of the Navy and Hugh Bancroft who inherited the Dow Jones and Wall Street Journal, but what's new to write about?
I followed my Bancroft ancestry back to about the 12th century.
Good for Heather for writing a book but there have been a lot of books written about the Bancroft's. I hope she finds some success.