I agree that the center of the quilt is a Lone Star, but I think the other blocks are 1/4 of a compass block such as this
https://www.google.com/search?q=Lone...QsW8TuRAqoM%3A or maybe one of the other compass quilts shown here
https://www.google.com/search?q=Lone...attern&imgrc=_
edited to add:
This block needs a bit of modifying but it seems to be the closest to what you are looking for
https://www.google.com/search?q=Lone...-DfPqLFBYBM%3A
Another compass that looks very similar
https://www.google.com/search?q=Lone...oH3shfHevOM%3A