"Thank you to the hundreds of people that attended the walk this morning and to all those that had their own walks with their beloved pets at 9.30am all around the world," Woods posted on Facebook.
Walnut enjoyed burgers and custard cremes, his favorite treats. Woods carried Walnut in a blanket as the dog was too weak to walk across the sand.
Strangers came over to offer Woods comfort. Children petted Walnut.
"He's been with me through some very difficult times in my life and he's just got me through them, both physically and mentally," Woods told the Sun. "We've shared a lot of dramas, a lot of fun and a lot of shenanigans and he's exceptionally special. Eighteen years is a long time to build up a bond of friendship."