Hi Drew & Kilgore*
Thanks for your replies. I also have and use Simplenote, although I went off it for a while, when it started crashing all the time on me. It seems to be more stable again now, so I'll start using it more regularly again, perhaps.
I am, obviously, disappointed that one can't simply select ANY object within a Notes document and choose to delete it. As I rather suspected, the only solution is an annoying workaround. Apple stuff seems to get more like this as time goes by. At least in my experience.
I solved the issue my own way in the end, but I guess it was close to your 1st idea DR, and your 2nd option, KT: I basically cut and pasted everything above, and then everything below, the image, and pasted both chunks of text into a new note. So it took two passes, and left me with the original note just displaying the image, which I then trashed.
Tapping to the right of the image followed by deletion was what I hoped & expected would work. But instead the image stayed put and the text below the cursor would simply slide along the right hand side, moving upwards as I deleted! Most bizarre, to my mind at least.
Anyway thanks for the feedback. But, for anyone else that might want to know how to do this, the answer is: NO, you can't select and delete an image once it's in one of your notes!
* I quite recently watched the rather strange Bruce Willis / Nick Nolte 'Breakfast of Champions' movie... I think I still prefer the book to the film!