Full House - Season 5 Episode 10 : Happy Birthday, Babies (2) 1995

Michelle's birthday party has just started when Becky announces that she's going into labor. The twins are coming, and she needs to get to the hospital, fast. When Jesse leaves to take Becky to the hospital, the others stay behind to speed up Michelle's birthday party so they can get to the hospital to be there when the twins are born. At the hospital, Jesse's "sympathy" pains turn out to be appendicitis. As Jesse undergoes an emergency appendectomy, Danny is the one who is at Becky's side for the time being. After the surgery, Jesse is placed in the maternity room that Becky is in, and even though he went through an operation, Jesse is still at Becky's side when Becky gives birth to twin boys. Nicholas "Nicky" Katsopolis is named after Jesse's father, and Alexander "Alex" Katsopolis is named after the teacher who inspired Becky to go into journalism.