The pattern is from a sampler in the Brooklyn Museum as documented by Susanna E. Lewis in "Knitting Lace, A Workshop with Patterns and Projects".
I have changed the garter sections to purled garter so that the reverse rows can be all purled.
Having just uploaded this I saw how similar it is to Rettenegger Muster, which led me to Fahnchen, which is I believe essentially identical, even including my modification.
Shown with a cast-on count of 24 stitches.