The Qenya Lexicon had ᴱQ. vandl “staff” under the early root ᴱ√VAHA having to do with travel (QL/99), while the Gnomish Lexicon of the 1910s had ᴱQ. vanga “staff” as the cognate of G. bang (GL/21).
Neo-Quenya: For purposes of Neo-Quenya, I prefer to retain ᴺQ. vanga for “staff”, but Helge Fauskanger used ᴺQ. vandil “staff” in his NQNT (NQNT).
vandl noun "staff" (LT1:264) (No word can end in -dl in Tolkien's later Quenya; the word may be adapted as *vandil. Compare findl, findil.)