Doris I am sorry but I cannot answer your great question which is a very sensible one. I too like enlarging designs and use my PE design to do so, so what softwear do you use. Happy Sunday too, though its after 6pm in the UK

I have increased some of my FSL designs, but when it comes to my advice, I would say no.

Hi Doris...when you increase the size of FSL you run the risk of not having the stitches keep their joining properties so that when you rinse the WSS away, the stitches would not connect and could separate from each other...If I were going to try to increase a FSL design, I would stitch it over a layer of something like organza, something very sheer, so that if your stitches did not connect after you increased the size, the doily would still stay together because you would have the sheer organza as a base fabric. Many digitizers will increase their designs for you if you contact them and ask them for a larger/smaller size.

I have tried to increase the size of fsl designs and they turn out distorted. Digitizers of these types of designs recommend you NOT change the size. Hugs. Nan

Here are a few sites that have a lot of nice fsl, might be large ones,.
https://s-embroidery.com/magazin/home.php

https://www.criswell-emb.com/

https://www.advanced-embroidery-designs.com/

Hi Doris, I fond some lovely crochet looking doilies on S-Embroidery.com and I'm sure there are other companies too. Good luck, love Chris

https://s-embroidery.com/magazin/search.php?mode=search&page=3

I see Jofrog has given this site too, check all the pages out for Crochet. Have a look at the internet under Crochet doily designs in Machine embroidery.