Here is the Faggot Diamond Pattern from Mary Thomas's Book of Knitting Patterns (1943).
Is this close to what you are looking for? I think your sample has chain/traveling stitches that may cross differently at the top of the diamond but it is definitely close.
And here is a nice blog post explaining how this stitch was used for a pair of silk stockings for Queen Elizabeth I ("Queen Bess's Stockings"):
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