The X Factor winner Alexandra Burke shared a rare picture of her newborn daughter as she celebrated her 34th birthday. The gorgeous singer posted the picture on her Instagram - and it's adorable.READ: Alexandra Burke gives birth! See first baby photoHolding the little tot in her arms, Alexandra smiled in awe at her baby girl during their holiday in Monaco.Pregnant Alexandra Burke reveals first glimpse of baby bumpThe Bad Boys singer also looked beautiful in a green mini dress, which flattered her figure and showed off her striking legs. She captioned the post: "This is 34.