Leston is of English origin, derived from the surname 'Lester', which itself evolved from the Middle English 'Lesse' meaning 'from Lesnes, a village in Kent'. It's pronounced /ˈlɛs.tən/ and was popularized as a given name in the late 19th century. The name Leston is believed to have been brought to America by early English settlers and has since maintained a steady, if not common, presence in English-speaking countries.
"Leston appears to have been a fairly popular name from the early 20th century until the mid-20th century, with peak years being 1924 and 1930, each having 11 births. However, it became quite rare after the 1960s, with only occasional occurrences until 2014."