I literally ALWAYS have chapstick on me so that won't be forgotten! Haha
Lip balm if you have gas and air it will crack lips.
Baby: mittens, hats, pj's, a couple outfits, hair/nail kit, receiving blankets, baby blanket, socks. Hospital usually provides diapers, wipes, and little lotions etc.
Mom: sweats or PJs, socks, slippers, big underware, nursing bra, toothbrush/ toiletries, phone charger, hair ties, nursing cover. The hospital should provide pads and disposable panties.