Just start making your blocks and lining them up where you want and you'll have a great table topper or table runner.
I love runners and placemats, they give a table such a homey look

Not batting goes into my tablecloths. The runners get a very light batting.

I have made table clothes for every season. I put them on my table and cover them with clear vinyl. I love them and
everyone else seems to enjoy them also.

Just wondering about the problem of the seams. Would it be better to press seam allowances open instead of both to one side?

I use heavy ivory flannel, works great

Had friend who made a quilt as you go log cabin double sided with no batting. If you think you may be able to work it out. It came from a very old magazine 10 years etc.
Try this site this adds batting which I think would make it too bumpy for a table clothe
Celtic knot

I use Pellon fleece interfacing for my table runners, but it's only 45" wide so it would have to be pieced for a tablecloth. Just butt the edges and overcast it together. I love the way it adds body, but not a lot of thickness so a candle won't upset. For a tablecloth, I wouldn't use anything. It will drape if it has enough drop. A one layer tablecloth does, so why wouldn't a two layer, plus the weight of the seams and thread. On the other hand, a friend uses vintage quilts that have old cotton batting for tablecloths and they work fine. I would use the Pellon fleece just to smooth out the seams and give the quilting a little definition. I don't care for the fusible.

To make a round tablecloth, make the quilt pattern you want only don't worry about the corner blocks. Fold the top in quarters, tie a pencil tied to a string, hold one end of the string at the point of the folded quilt top and draw a line as you move the pencil. Cut on the line, unfold and you have a circular quilt top. The distance between the endpoint and the pencil needs to half the desired size of the cloth. Add a little extra to allow for quilting. I've done a newspaper pattern with the string and pencil, too.