Jenny Everywhere's scarf
From Jenny Everywhere Wiki
Jenny Everywhere's scarf was one of the items of clothing which recurred across nearly all of the Shifter's parallel selves.
One version of Jenny once stated that she had inherited her scarf and goggles from her mother, suggesting that they were indeed a constant across all of her incarnations, always being on some level the same items much like how Jenny was always the same person in every dimension, no matter the occasional differences in visual appearance. (COMIC: The Late Shift)