There are multiple origins and meanings for the name:
1. Russian (Шура) diminutive of Alexandra - "protectress of the people/mankind"
2. Persian name, comes from the word (شور) [shur] - "passion; attraction; love; ardor, fervor" or of (شورا) [shura] - "council"
3. Hebrew name (שוּרָה) meaning - "row; line; rank"
May also refer to Shura (male name ).