Narcissus: The term narcissus (Narcissus sp.) refers to a genus of bulbs that includes hundreds of species and literally tens of thousands of cultivars! The Narcissus genus includes daffodils, jonquils, and paperwhites, among many others, so when in doubt, this is the term to use.
Daffodil: This is the official common name for ANY of the plants that fall into the genus Narcissus. So, if the plant is considered a Narcissus, it is also considered a daffodil as well. However, most people use the term “daffodil” when referring to the large, trumpet-shaped flowers of the Narcissus pseudonarcissus. These are those big, showy, familiar bulbs that bloom in spring that we all know and love. Common daffodils have single blossoms and flat, strappy leaves.
Often confused with the use of narcissus and daffodil is the term jonquil, which is a specific type of daffodil with dark green leaves and clusters of several small and fragrant flowers – different from the daffodil's one flower and flat leaves.
https://homeguides.sfgate.com/whats-difference-between-daffodil-narcissus-61448.html?fbclid=IwAR1L-Dpu8ykx3uu4iR3TTx6A7TWygXH3k-ilHOMuvC1YncvgX1vrIjWADKI