There are two main ways of cording a petticoat: one is to use fabric which has cords woven into it; the other is to sew cording between layers of plain fabric. This may be accomplished by making small "tucks" in the petticoat, or by extending the hem facing to provide the second layer of fabric.
Genessee Country Village and Museum has two blog posts up about weaving corded material for petticoats. The first shows the fabric and the original it was based on; the second post has the finished petticoat.
|Cotton corded petticoat with drawstring waist, c. 1840-1860.|
I think this example has the cords woven into the material
rather than sewn in, but it's hard to tell from the picture.
|Petticoat with cords sewn into small tucks. |
From The Met. 1830s..
|Linen corded petticoat, c. 1840-55,|
from Corsets and Crinolines
|Horsehair ("crinoline") petticoat, 1840s.|
From The Met.