Gracious
Jaynia is a modern American invention, likely created as a rhythmic blend of the name Jay and the suffix -nia. It is often interpreted as a variant of Jane or Jania, which derive from the Hebrew name Yochanan, meaning 'God is gracious'.
Less common today
Jaynia isn't in the latest US Top 1000. It last peaked at #7,200 in 2003.
US births per 5-year period, 1990βpresent (SSA data).