"Variant of Josiah"
The name Josaiah is commonly a male name from the "Hebrew" origin.
Josaiah is a spelling variant of Josiah, the English form of the Hebrew biblical name Yoshiyahu. The inserted a after the opening Jos- is a respelling rather than a separate element, so the name derives from the same source as Josiah. The spelling Josaiah is a recent one and does not appear in older English naming dictionaries.
Josiah means "God will heal and protect.".
The pronunciation of Josaiah is jo-SAY-uh.