Thank you all for your helpful information/suggestions; you are very kind. I did re-seat the board and checked the connections; all good. I had a chance to borrow a new Dell 22" monitor (LCD) to see if the problem would follow. The monitor wouldn't show the desktop at all; it just showed an error screen, something about resolution or something similar. Could be my video card is too old for a new monitor. I have a RAGE 128 PRO Ultra GL AGP in a system purchased in 2001.
I also played with my resolution settings and after trying several combinations (most helped with the wiggles, but then had a bar scrolling from top to bottom constantly), I changed my resolution to 1024 x 768 pixels and the color quality is set at Highest (32 bit). The wiggles seem to have disappeared. Strange, right?
Don't worry, even though I fix things all the time, I am not getting into my monitor. It is probably time to go from my 15.4" to a larger LCD anyway. Sam's Club has Samsung 19" for $150.00. But would I need a new video card?