Nick here from Shopify.
Finding a supplier can often be on the toughest things when starting a store or a new product, especially for one as unique as a Muslin blanket. I wasn't very familiar with a Muslin blanket before, but they look very comfortable. 🙂
I looked into this for you and did find some wholesale suppliers for Muslin blankets. One of them is based in the UK but the other two are based out of China, which I know might not completely suit your needs since you mentioned UK/EU, but I said I would share them regardless.
Hopefully one of the above suppliers does suit your needs and you can work with them going forward.
All the best, Nick
P.S. I will also move your topic to the Wholesale and Dropshipping section of the community also. It will have a better chance of potentially getting more and better answers than the manufacturing topic.
You are very brave if you are able to confess, that you have no idea how to increase you business. l was in the same situation just some years ago and today i have a chain of stores in my hometown. i've met a lot of problems and obstacles in my way, but my huge mistake has been my idea of doing everything only by myself. So if you want to see the progress as soon as possible, you should explore the biggest rivals of your field. For the first, you can check the site, where knitted weighted blankets are sold. You will be able to see the example of a correct marketing strategy and to read real reviews in order to understand what customers want.
It has been a while but who knows. We do have a Muslin fabric you might like please see pictures and site here https://www.contrado.co.uk/custom-muslin-mulmul-printing
You could order it as a fabric with hemming option (or include into your website using Shopify) though I suggest to first order the swatch packs https://www.contrado.co.uk/fabric-swatch-pack
* * *
Gwenn from Contrado