The name appears in the map of the Shire, but the letter o in the 1954 edition was not very clear; thus the name has been rendered Bindbale in many later maps (e.g. by Barbara Strachey and Karen Wynn Fonstad), and elsewhere, like in Robert Foster's The Complete Guide to Middle-earth (s.v. Bindbale).
Christopher Tolkien would reminisce that there is an actual English place named "Bindbole Wood", being one of the real place-names borrowed while drawing A Part of the Shire map with his father. However this must be a false memory as there is no trace of such a place, not even Christopher himself was able to find any information afterwards.