The same card and a few others listed on eBay as "T400-8" with no year [1, 2, 3] and another with 1901 year [4]. However, given the prior image being stated as 1908, the date is uncertain. Also, found the same image reversed and stated as "Portrait of Evelyn Nesbit, 1900s" [5].
Assuming the "T400-8" identifier is accurate, this American Card Catalog from 1967 (reprinted 1988) has a listed on Page 17 under "T400 - Actresses and Girls", with #8 only stating "Numbered cards TW72" [6]; "Cards with ATC (any type). TW refers to the Tobacco War Booklet."
[1] https://www.ebay.com/itm/115935658168
[2] https://www.ebay.com/itm/115935658171
[3] https://www.ebay.com/itm/115855540297
[4] https://www.ebay.com/itm/362602215089
[5] https://www.pinterest.com/pin/513973376213926664/
[6] https://www.vintagenonsports.com/resources/1960ACC-2.pdf