I BELIEVE IT IS CALLED LINEN, BECAUSE IN THE TIME WHEN HAND EMBROIDERY WAS MAINLY DONE, THAT IS THE STYLE THEY DID. MOST WAS DONE ON SHEETS, PILLOW CASES TABLE CLOTHS AND SUCH TO USE FOR THE HOPE CHEST OF YOUNG GIRLS AND FOR HOME DECORATIONS. IF YOU WOULD LOOK INTO THE OLDER GENERATIONS, YOU WOULD TEND TO SEE MORE LINEN STYLED EMBROIDERY INSTEAD OF WHAT YOU SEE TODAY IN THIS GENERATION. MY GRANDMOTHER AND MY HUSBANDS PARENTS HAVE ALOT OF DOILIES AND TABLECLOTHES WITH THE SMALL FLOWERS ON THEM. i BELIEVE YO COULD USE WHATEVER SUITS YOUR FANCE...HECK WE EMBROIDER ON T.P. NOW
I think it's for the edges of linens...sheets, pillowcases, table linens, etc. If you are using a wing needle for a design that calls for it, it LOOKS better on linen, but I have never seen anything with "linen" in the name of the design that is to be stitched only on linen fabric.
I am not sure, I think it just simply get the name because they will look really nice on linen. I have myself used some on cotton and other types of fabric and have not had any problems with the designs. Hope my answer is somehow helpful to you and that you find the right answer, *2U