I came across the term “corsage skirt” in my readings. It’s shown here in this 1906 pattern.
They were designed to show off the figure. I’m thinking perhaps the corsage term came because they tucked flowers into it, but I could be quite wrong. They were very detailed skirts, embellished with lace, embroidery or both. Here’s an explanation of the skirt that I found: “whether built upon princess or modified Empire lines, corsage skirts require soft separate blouses to wear under the dainty framework waists which are so cool and pretty for the summer. Such blouses are never trimmed with cross-wise lines, but observe the long lines of the garment with which they are worn, by having trimming, frills and tucks, or folds, put on lengthwise lines, from shoulder or neck to waist. The only deviation from this rule is when a girdle is made of a fold, or ribbon of satin or velvet around the top of the corsage skirt. In such cases one or more ribbons or folds are run around the blouse, hanging loose from the lower edges and giving the appearance of continuation of the lines of the skirt or a little bolero worn with it.” (The Washington Times, June 17, 1906)