This name was known among the Normans due to the Welsh bishop Saint Samson, who founded monasteries in Brittany and Normandy in the 6th century. In his case, the name may have been a translation of his true Celtic name. As an English name, Samson was common during the Middle Ages, having been introduced by the Normans. It is currently most common in Africa, especially in countries that have an British colonial past.
The name was very popular until the 15th century in England, usually in the vernacular form Maud. Both forms were revived by the 19th century. This name appears in the popular Australian folk song Waltzing Matilda, written in 1895.
In the English-speaking world this name is more commonly given to girls. This is due to the American actress Alexis Smith (1921-1993), who began appearing in movies in the early 1940s. It got a boost in popularity in the 1980s from a character on the soap opera Dynasty.