George,
I assume you've take a look at this link: http://www.carltoncycles.me.uk/details/dating.htm It comes with disclaimers about accuracy but according to what it says, your Flyer would be 1953 - 1954. I have a Carlton Flyer, serial number M6582, that I've dated 1964 by the same timeline and this corresponds to the rough date given to me by the person I purchased it from. Pictures of my Flyer here: http://s343.photobucket.com/albums/o476/chileros_bikes/Carlton%20Flyer/
Carlos OvalleLong Beach, California, USA