Firstly let me say my knowledge of electrics consist of knowing the colour of wires and the replacement of fuses and I currently do not have a workshop manual to refer to

The indicators on my '65 minor 1000 have packed in, There has obviously been an issue as the car previously as there is a modern relay unit tie wrapped to the heater hose!!
The indicators were working but suddenly when turning right the stalk light stayed on constantly, I turned them off and when I next came to use them they wouldn't work.
I have checked all the other probable related items, the rear lights, horn and they are all working.
I don't want to simply replace the sender unit with the proper item if the problem will still be there.
So I'm asking the great and good if there is any mileage in removing the wiper stalk and checking the connections, I have looked at the main fuses and they seem to be fine, although that was at 4am this morning before I came to work so once I get home I will check them again but I'm sure they were all intact.
Assuming the fuses are ok would I be right in thinking a short would blow the sender unit?
Thanks for reading this and I look forward to any replies.
Regards
Dermot.