Free man or little woman
Carlia is a feminine elaboration of Carl or Charles, ultimately derived from the Germanic word 'karlaz'. It carries the historical connotation of a free person who was not of noble birth but possessed legal rights.
Less common today
Carlia isn't in the latest US Top 1000. It last peaked at #10,058 in 2017.
US births per 5-year period, 1990βpresent (SSA data).