Pictures and part numbers for the Ford float can be seen in a picture in the link below. (Sorry, this is a Google storage location and it typically won't allow me to post direct links).
https://www.sites.google.com/site/purlawson/home/pictures
Look on the left for the gauges folder and the first link "Floats-Smiths-n-Ford.jpg" The Ford float is available from many sources (eBay, Amazon, speedshops, etc.) as a LOT of non-Ford cars use it as a replacement.
Start your troubleshooting by looking at the temperature gauge as Gilderman suggested (assuming it is still an electric temperature gauge). If your car still has the Smiths electric temperature gauge and it is working normally, that should indicate that the voltage stabilizer referenced by others above is putting out the average 10V Randall mentioned. Of course, you should also check that all the wires are connected both at the fuel gauge and at the sending unit.
Once you have access to the sending unit, remove the green/black wire connected to it and with the ignition switch in the run position, hold the terminal on the green/black wire to a bare metal ground on the car. If the fuel gauge goes to full, the gauge and the green/black wire are OK. If it does not, you could have a problem with the gauge or the wiring. I don't remember if the TR6 has 2 wires on the sender or not. If there are two wires on the sender, the second wire will be "black". With the ignition still in the run position, hold the terminal of the green/black wire against the terminal on the sender's black wire. Again the gauge should go to "full". If it does not go to full this time but did go to full when you grounded the green/black wire, this indicates a problem with the black wire having lost its connection to ground.
EDIT: If you determine the float is the problem and you buy the Ford float, take one additional step before fitting it to your car. The float arm for the Smiths sending unit will have a loop of wire on the end. Deburr the cut end of that wire loop with a fine file before fitting the Ford part. I failed to do this the first time I used one and in a few weeks my float failed. I small burr had cut through the thin brass allowing the float to fill with gas and sink. That's easily fixed with a bit of solder but it meant taking everything apart again and emptying/drying the float.