Son of Jack
Jaxn is a modern phonetic spelling of Jackson, which originated as an English patronymic surname meaning 'son of Jack'. The name Jack itself is a medieval diminutive of John, ultimately derived from the Hebrew name Yochanan, meaning 'God is gracious'.
Less common today
Jaxn isn't in the latest US Top 1000. It last peaked at #4,732 in 2018.
US births per 5-year period, 1990βpresent (SSA data).