Make sure the table is not formatted with text wrapping.
Right-click on the table, and left-click on Table Properties |
Table tab | Text wrapping: None | OK.

MrsBook wrote:

Had unexpected trouble cutting and pasting rows in Tables...suddenly various
content would appear superimposed over other parts of table content,
especially if cell included bullets. Is this an XP problem or a WORD 2003 or
a bug/virus.

I've used tables extensively in past and have never seen anything like this
before.