Charlie Chaplin’s first serious movie, from 1923, is about a young woman who heads to the big city as the mistress of a wealthy old guy. There, she reconnects with her old boyfriend. This second feature in the Cinematheque’s “Chaplin’s Silent Films” series is a deep, stylish work for its time. And for those of you who can’t live without funny Chaplin, A Woman of Paris is preceded by one of his comedy shorts.