Crown or princess
Tyara is likely a modern variation of the name Tiara, referring to a jeweled headpiece worn by royalty. It may also be influenced by the name Tara, which has roots in Sanskrit meaning star or Gaelic meaning rocky hill. Its usage in the US is often as a creative, phonetic spelling of regal-sounding names.
Less common today
Tyara isn't in the latest US Top 1000. It last peaked at #3,194 in 1997.
US births per 5-year period, 1990βpresent (SSA data).