The distraught owner then had to dig a large crater in the front yard to prove that the root of the problem was the rock drain.
The city calls it the "Big Pothole on Headingley Lane".
Mr Clegg left a sign in front of the well explaining why he was digging and letting people know about the problem.
It said:
"The roof of the canal is built of heavy stone slabs and there are no modern pipes to support the original construction."
Inside the crater, passers-by can see water, which is usually pumped out of stagnant canals.
“We dug a hole because the main reason the council failed to do their civic duty was that the 'old' canal was not on their map, moreover it was buried under our land.
"Through outside inquiries and preliminary expert work, we were able to disprove both theories, leaving Kirkless with no credible reason," the statement continued.
Aqueducts are a type of aqueduct that transports water through dams or underground canals.
They are usually made of pipes or reinforced concrete and are placed underground.
The New Labor family explained that the issue had caused an increase in stress and anxiety and insisted Kirklees Council was "doing their duty".
The note was signed with an apology and the family's hope that people would understand their situation.
Councilor Naheed Mather, Kirklees Council's Cabinet Member for the Environment, said: “Kirkleys Council investigated the matter at Headingley Lane and found there was an old rock drainage system within the grounds which we have no record of in our system.