And then I posted the above, hit the "More" button, and there was Delete!! So apparently it's in the more button. Odd, I just checked an older thread I posted in and there was no option to delete. I wonder if it's a time limited option?
Edit/ It is post limited at the least. Once this post was made, I no longer had the option to delete the preceding post, only the newer one.
So the answer now is, once a post has a reply posted after it, it can only be deleted by an admin. BUT you can delete your newest post, provided no-one else has responded to it.
Sounds like Think Twice Act Once is the first rule of posting! /Edit
2nd Edit/ Editing a post eliminates the option as well! /Edit