Hi esmi and samboll, thank you for your input.
esmi, I tried replacing the code, as suggested, but it makes no difference.
samboll, I had installed the Kimili plugin... but I'm struggling with it. Do I insert the generated tags? i.e., the square ones:
[kml_flashembed movie="/my/great/movie.swf" width="400" height="300"]
with these  tags, the code itself appears in the page. If I replace them with these <> tags, the Download Flash icon (alternative content) appears. I tried inserting the flash into the post, for testing, but again, the writing inside the square tags is all that appears.
Going back to just normal html embedding, nothing shows, but if I right-click over the area, it gives me the Flash menu - so the Flash is there?
This is driving me insane :'( ...It can't be this difficult!!
Thanks for your help... if you have any other tips, please let me know. If I find any solutions, I'll be sure to post them here.