Do you actually have a piece of this fabric? Just curious. Depending on the weight and the weave as well as the size of the pattern it could be one of a variety of fabrics. I tend to say Civil War? era print but as Tartan said - Japanese woven is a possibility as well. Kathy Hall (Andover) has a series of tiny lines and prints for Andover Jo Morton has a few similar as well as Moda - while these are not identical they might fill the bill so to say!!
https://www.etsy.com/listing/6825514...search_click=1
https://www.etsy.com/listing/7297065...search_click=1
https://www.etsy.com/listing/6051065...search_click=1