I'm Miles from the Social Care team at Shopify. Thanks so much for your question.
Are you using Shopify Payments as your payment processor? If so, I want to make sure that everything is listed correctly in your Shopify Payments account first of all. If you head over to Settings > Payments you'll see Shopify Payments listed there. Click "Manage" above Shopify Payments and scroll down to the section called "Payment Descriptor". Can you confirm that the correct business name is listed there? If it says "computer hardware company" or anything else, change it to what you'd like your customers to see.
If you're using a third-party processor (such as PayPal), you'll need to do the same via your account with them. If you're unsure of the process to check the details with the third-party, I'd recommend reaching out to them for assistance. They'll be able to walk you through the correct steps to work out what's displayed on your customers' statements.
If everything looks okay, then we need to look at the app you used to process the refund. It shouldn't change what your customer sees, but as apps are created by third-parties, the only way to be sure is to contact them directly. You're able to contact them here, or directly on the app listing in the Shopify App Store.
If you chat with them and they aren't able to pinpoint the issue, then please let me know so I can follow up on this for you.