There’s an heraldic item up on eBay (the UK version) right now, that you can buy for only £1.97, that has the descriptor “Patch Badge Sew Iron Coat of Arms Flag England UK”. Of all the words in that description, I think I can fully accept “patch”, “sew”, “iron,” and possibly “coat of arms.” (It’s not truly a coat of arms, though it is heraldry like.) It’s not a “badge,” nor is it a “flag,” and the only relationship it has to “England” or the “UK” is that it comes to you from there. (No, wait, it doesn’t either. Looking at the entire entry more closely, it’s being shipped from Chiang Mai, Thailand. So I guess the only relationship it has to England or the UK is that it’s being sold via ebay.co.uk.) And why do I care at all about this? Well, see for yourself.
I did go ahead and look at some of the stuff in their on-line eBay store, and they have some patches with the Union flag and with the cross of St. George on them, so it’s not a total loss. They’ve also got an heraldic patch consisting of a crowned shield with a lion rampant and the word “Sexy” on a chief (shown below; personally, I'm not certain that I could carry off wearing it), as well as a patch for Switzerland and patches with the flags of Turkey and Spain.