Son of Day; or a modern invented name
Daysen is a modern American name likely created as a variant of Dyson or a combination of the word 'Day' with the popular 'sen' suffix. It may also be interpreted as a patronymic surname meaning 'son of Day,' where Day was a medieval nickname for David.
Less common today
Daysen isn't in the latest US Top 1000. It last peaked at #7,552 in 2010.
US births per 5-year period, 1990βpresent (SSA data).