The court heard how in August 2023, Wood was caught on camera driving his work van to a sports centre where he was then seen walking through the car park before going into the changing rooms and entering the swimming pool.
Donoghue said Wood had received benefit payments totalling just over £53,800.
Lauren Smith, acting for the two defendants, said they had expressed their deep remorse and made no excuses for what had happened.
She said there was no suggestion that Clayton had received “a cut” for her role in the offending.
She told Recorder Taryn Turner that Wood, who had been receiving benefit payments of up £450 a month, was now paying back £65 a month under a repayment plan.
Recorder Turner jailed Wood for 16 months and sentenced Clayton to five months in prison suspended for 12 months.
Clayton must also do 80 hours unpaid work.
“These are serious offences,” she told the defendants.
“Benefit fraud over a prolonged period of time undermines the integrity of the social security system.”
She said Wood had maintained his dishonest claim through review forms, assessments, correspondence and appeals when payments were temporarily halted.
“Throughout that period you represented your medical condition severely restricted your mobility and daily functioning,” she told Wood.
But she said he had been seen driving, walking unaided, swimming and operating his car repair business.
“This was not an isolated act of dishonesty,” said the judge.
“It was a sustained fraud maintained over many years and involving repeated false representations to preserve your entitlement to benefits.”
