Blind
Cecila is a rare variant of Cecilia, which is the feminine form of the Roman family name Caecilius. The name is derived from the Latin word 'caecus', meaning blind, but it is most famously associated with Saint Cecilia, the patron saint of music.
Less common today
Cecila isn't in the latest US Top 1000. It last peaked at #5,580 in 1990.
US births per 5-year period, 1990βpresent (SSA data).