And court prosecutor Sara Ashkboos also revealed to the court that Gaby would send letters of admiration to the star, once even claiming: "I know things about you."
Sara told Camberwell Green Magistrates' Court: "She directly states she is in love with the complainant and asked him to reply."
Eddie - who has his 15-month-old daughter Iris with his wife Hannah Bagshawe - also alleges that Gaby has followed him to film premieres and the London film set of 'The Theory of Everything', as well as randomly approaching him for a hug at a tube station in the English capital.
However, the alleged stalking became more serious when Gaby would sit in the park opposite Eddie's house in Southwark.
Eddie's note went on to state: "[She would appear] out of nowhere - observing me and my family without us knowing. The safety of my family is everything to me and with her behaviour we can't feel safe."
According to the Metro newspaper, Gaby has since pleaded guilty to stalking.