Son of the gray-haired one
Originally an English surname, Graysen is a modern spelling variant of Grayson. It historically denoted the son of a 'gray' or 'reeve' (a local official). The name has transitioned from a professional surname to a popular contemporary given name.
Less common today
Graysen isn't in the latest US Top 1000. It last peaked at #701 in 2016.
US births per 5-year period, 1990βpresent (SSA data).