This illustration is from an antique cookbook called Sunday Night Suppers from 1907. The lady is mixing something by hand, which is how women worked in the kitchen in those days. Beside her is an old fashioned chafing dish that is keeping food warm while she works.
This black and white clipart comes from The Home-Keeping Book, 1918. Apparently, the little boy has a cut or scratch and the mother is putting some medicine on it. Beside her is a table of her first aid supplies.