Alongside his newborn, Jon also has two daughters with ex partner Madeleine Colvin.
The star was with the human rights lawyer for 35 years before they split.
He then went on to marry Dr Lunga, a Zimbabwean academic, in 2010.
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The couple tied the knot on the Caribbean island of Mustique at the £800 a night Firefly Hotel, where stars including Mick Jagger and Zara Phillips have also stayed.
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