Possibly related to the Sinai Peninsula or a variant of Xenia.
The exact etymology of Sinia is uncertain. It is often considered a variant of the Greek name Xenia, meaning 'hospitality,' or a reference to Mount Sinai in the Bible. In some European contexts, it may also be a diminutive or modern variation of names ending in -sinia.
Less common today
Sinia isn't in the latest US Top 1000. It last peaked at #7,881 in 2002.
US births per 5-year period, 1990βpresent (SSA data).