The jury took four and a half hours to reach the two unanimous guilty verdicts.
As the guilty verdict was read out on the murder charge, there were gasps from the public gallery and some of Rigby's relatives left the court in tears.
Rigby, dressed in a grey suit, shirt and tie, put his head in his hands as the verdict was given.
Smedley, dressed all in black and with her dark hair tied back, appeared to be struggling to hold back tears when the jury announced her guilty verdict.
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Best of the clear, dry weather across the west overnight.