I didn't have much luck playing that url in the suggested program or my recently updated VLC player. I tried variations like
rtmp://fms.senate.gov/Committee/vCommFiles/banking120408&start=945.flv
rtmp://fms.senate.gov/Committee/vCommFiles/banking120408&start=945
rtmp://fms.senate.gov/Committee/vCommFiles/banking120408
rtmp://fms.senate.gov/Committee/vCommFiles/banking120408.flv
and still didn't get any playback.
However, I did try out
Rip Tiger and that seems to be doing the trick. I would feel better if I was able to see or figure out the url that is being used, but at least I got the video.
Thanks, noob2001204!