I looked all through Barbara Brackman's Encyclopedia of Pieced Quilt Blocks and the only one that comes close is Air Castle aka Towers of Camelot but yours is a stripped down version. I have made your block many times so I know I have it somewhere. Twin Star & Star Spin both sound like plausible names to me.

On Quilters Cache, it is the Double Friendship Star. Quilt in a Day calls it a Star for All Seasons. It is one of my favorites to make.

That makes perfect sense! Thanks.

It is so good to see so many replies and that so many have gone to such pains for me by looking in books etc. I knew I could rely on you all. Now I have so many options for a name. I will keep listening to you all and come up later with the name that I decide it should probably be. Or maybe I should just call it Star Block???? :?

Double Friendship Star makes perfect sense when it is done with a light center--it would be perfect to write well wishes in.