sory Richard, Merriam-Webster disagrees with you:

Main Entry: hope·ful·ly
Pronunciation: 'hOp-f&-lE
Function: adverb
1 : in a hopeful manner
2 : it is hoped : I hope : we hope
usage In the 1960s the second sense of hopefully, which dates to the early 18th century and had been in fairly widespread use since at least the 1930s, underwent a surge in popularity. A surge of criticism followed in reaction, but the criticism took no account of the grammar of adverbs. Hopefully in its second sense is a member of a class of adverbs known as disjuncts. Disjuncts serve as a means by which the author or speaker can comment directly to the reader or hearer usually on the content of the sentence to which they are attached. Many other adverbs (as interestingly, frankly, clearly, luckily, unfortunately) are similarly used; most are so ordinary as to excite no comment or interest whatsoever. The second sense of hopefully is entirely standard.   

I find the juxtaposition of "hopefully" and "inappropriate" intrigueing - as when I attend a pub sing the songs will hopefully be inappropriate.