1) Accidentally 2) Artlessly 3) How a babe does things 4) In a naive manner 5) Inadvertently 6) Ingenuously 7) Innocently 8) Mistakenly 9) Openly 10) Simply 11) Unintentionally 12) Unknowingly 13) Unsuspectingly 14) Unwittingly 15) Without sophistication Found on https://www.crosswordclues.com/clue/naively