This “corset cover” is basically a camisole. 2 front pieces, a back and a peplum.
Since it is a bodice piece, real issues with fitting. And these pieces are for a petite person. I am using muslin, although the pattern says fabrics to consider: wool (would not use), silk (would be lovely for underneath something dressy), linen ( a piece of hankerchief linen would work) or cotton (which is what I would make the actual garment out of). Once the main pattern pieces are put together, there is much lace to apply. I do not think most fabric stores have a large selection of laces as they would have had back a hundred years ago.
I would consider making this with several pintucks in the front for better fitting as well as making a more interesting garment. Also I would consider crocheting the lace around the armholes and neckline, rather than trying to apply lace on those curves.
Overall this was not a very complicated pattern to work with and probably could be done by hand if one so chose if working with some exotic fabric. I think we are too used to knitted wear for most of our undergarments now and that is what I might consider using if I were to make this pattern for someone else.