If it is wool, you should be able to flatten it entirely. Does it have a selvage /selvedge hem? Can we assume you have already checked to see if it is actually a lady's kilted skirt? Does the condition of the straps provide any clues- age, quality, wear? Can you tell about the thread used to stitch it? What about the age/ quality of any other fabric, such as a lining in the waistband?