Kleinveldt said it was an agonizing but ultimately exhilarating eight and a half hour wait before his wife gave birth.
Reyhana is a daughter of the former South African spinner and former chairman of the national selectors, Omar Henry.
Talking about the challenges for the rest of the Sunfoil Series competition, the 31-year old international fast bowler said his ultimate goal is to strike regularly for the Nashua Cape Cobras and to continue his upward surge to reclaim his place in the South African team.
Kleinveldt was arguably the best bowler on view for South Africa A against the England Lions in the two-match so-called test series on flat tracks, as he captured nine wickets and took some high-profile wickets to challenge a star-studded batting line-up.
The right-handed pace merchant said he hopes to further state his case for inclusion in the SA team while playing for Northamptonshire in the South African off-season. He will link up with the English county on 12th April.
Kleinveldt will join his Cape Cobras colleague Richard Levi, who will return to Northamptonshire for a third successive season.
The head coach David Ripley recently told www.skysports.com: “It will be a great boost to know we will have two international players available to us for the whole season.
“Rory will be a terrific bowler in English conditions. He has just featured in the South African side against the Lions, where he was amongst the wickets on a pretty flat pitch. We look forward to managing his workload over the season to get the best out of him.
“Richard and Rory know each other very well, and I’m sure they will enjoy their time together in Northamptonshire.”
Kleinveldt views his style of bowling as a pivotal element in attempting to strike early and regularly. He says although he can swing the ball, hitting the right length consistently and moving the ball late on strips conducive to seam bowlers, would be even more vital for him in his quest for five-wicket hauls for the rest of the Sunfoil Series.