Do you have a space between the punctuation and the footnote? If so, remove
it. Then it will jump with a word (assuming I have understood your post
correctly, it is not entirely clear).
There should be a tab after the superscripted number and then the footnote
text. When the text is longer than one line, the first line of text is
tabbed (as I want it), but it jumps to the second line leaving the
superscripted number by itself. Does that make since?
Makes more sense. Didn't realize you were talking about the note itself and
not the reference in the text. Click ¶ on the standard toolbar to turn on
nonprinting characters to see if anything is awry--you should have a grey
arrow for the tab and a grey ¶ at the end of the note and plain grey dots
between the words. I wonder if somehow you could be getting non-breaking
spaces (grey degree symbol).
More info: http://word.mvps.org/faqs/formatting/NonPrintChars.htm
Failing that, with the cursor in a misbehaving word, click on Format | Style
and see if there is anything odd about the style definition.