1. Eric Philip Cowell (14 February 2014) as of July 31, 2013.. they broke up and got back together in August 2013.

The X Factor judge, 53, is expecting his first child with New York socialite Lauren Silverman, 36, multiple sources confirm to PEOPLE. The news has been hot gossip among friends recently because Silverman is married to Cowell's close friend, real estate mogul Andrew Silverman. In May 2013, Cowell's lawyer denied rumours that Cowell was romantically involved with socialite Lauren Silverman, the wife of Cowell's friend, real estate developer Andrew Silverman. The lawyer stated that, "any implication or statement that my client is engaged in adultery and has allegedly broken up the marriage of Ms. Silverman is not only false but reckless." However, on 15 July 2013, Andrew Silverman filed for an at-fault divorce in New York, citing adultery by his wife and naming Cowell as a co-respondent. News of the divorce filing became public two weeks later, when it was widely reported that Lauren Silverman and Cowell are expecting a baby. The child will be the first for Cowell, but the second for Silverman, who has a son with her husband. When questioned by reporters, Cowell said that, "there a lot of things I will eventually clear up when the time is right, but I really have to be sensitive because there's a lot of people's feelings involved here", while the Silvermans released separate statements expressing concern for the well-being of their son during the divorce process.

Looks like Simon and Lauren started their affair back in 2009.

http://www.usmagazine.com/celebrity-news/news/simon-cowell-began-4-year-affair-with-lauren-silverman-in-2009-201378

they welcomed their first Son Eric arrived at 5:45 p.m. in New York City and weighed in at 6 lbs., 7 oz. February 4, 2014

February 15, 2014

Eric moments after his birth... as it's revealed his middle name is Philip