Please help!

My sister has wrinkled discolored fingers that are dry as well and won't go away. My mom keeps telling her to moisturize her fingers but it doesn't do any good. Her feet of course half dead skin like some others but she has tiny bumps that are on her foot and sometimes in her hand that are very itchy and irritating. If anyone knows any natural home remedies preferably to help her out? Thanks!

(Ignore the paint in her nail)