Looks like Simon Cowell really is planning to name his first son after himself -- at least according to an attendee of the baby shower he threw on Sunday for his baby mama, Lauren Silverman. "It shouldn’t come as a shock, but Simon and Lauren really seem to be planning to name their son Simon!" the eyewitness told RadarOnline.com. "There were baby clothes and little games all personalized with the name 'Simon' for the baby." The source continued, "From what everyone -- including Lauren -- was saying, they are 100 percent naming their son Simon." The baby boy is due in February.