Song or palm tree
Zymirah is likely a modern American elaboration of the Hebrew name Zemira. It carries the dual meanings of a musical melody or song, and the strength associated with a palm tree. The addition of the 'h' suffix is a common stylistic choice in contemporary naming to add elegance.
Less common today
Zymirah isn't in the latest US Top 1000. It last peaked at #12,127 in 2019.
US births per 5-year period, 1990βpresent (SSA data).