This embroidery is in the University of Manchester. There is very little information on the website about the textile, except that it is from Egypt, made from linen and was made between the years 1100-1499 C.E. It resembles Mamluk embroidery to my eye, which is from the early 13th century. Just for a challenge, I have charted it up! It has both double running and pattern darning.
Please let me know how it works for you.