What do you mean by “template headings”? We cannot edit themes or templates on free hosted WordPress.com blogs. All blogs wearing the same theme are using the same template on this multiuser blogging platform. We bloggers cannot access theme and template files only Staff can. Every edit they make affects all blogs wearing the same theme.
If you are refering about template headings like you’re reading.. , then go to Dashboard ->Appearance ->Theme Options and click on Template Heading and do blank each box. You can customize your blog using other tabs like Header Links etc..