I have been taking the bike apart over the last day. I have been looking for any sign of a serial number. There is none.
I also checked the web page
http://www.utexas.edu/parking/transp...nd_serial.html. The serial was in none of those places. Maybe I do not know what to look for, though I have seen serials stamped on bike frames before under the bottom bracket.
Those silver parts on the bike are possibly chrome. I originally thought that they were "chrome" paint as I have seen on other bikes when it sometimes flakes off when rust gets to the metal. I was cleaning those parts with some steel wool because of what looked like surface rust and most has come off leaving the chrome/silver coloured parts clean.
Thank you for all the responses.