Daisy had two older brothers: Hamson and Halfred. She also had three younger siblings: May, Samwise, and Marigold. Samwise would later on become one of the greatest Hobbits in the history of Middle-earth. 
Not much is known about Daisy, but from our best guess we could tell that she must have been close with her younger brother Sam. This theory can be justified by the fact that Sam named his seventh child and fourth daughter Daisy. Anything else is only a mystery that Tolkien took with him to his grave.