The post was followed by the quote: "Life's not fair is it? Some of us drink champagne in the fast lane, and some of us eat our sandwiches by the loose chippings on the A597."
Wood's brother Chris Foote Wood, 75, said: "It wasn't just that Victoria was hugely talented in so many different fields, she was also outstanding in her tremendous, single-minded drive and determination to pursue her chosen career.
"Success did not come easily to Victoria, and it was only after years of struggle that she achieved her well-deserved national acclaim. I am hugely proud of what my sister has done so successfully in different fields of entertainment.
"It has been a privilege to have her as a sister, and particularly to have been able to observe at first hand how she developed her career from the earliest beginnings.
"Victoria's two children, my niece Grace and nephew Henry will be absolutely devastated to lose their mother at such a relatively young age."
He also praised his sister's determination to give her two children as "normal an upbringing as possible" despite her fame. His tribute came after a statement from her publicist Neil Reading, which stated: "Victoria Wood has sadly passed away, after a short but brave battle with cancer.
"The multi BAFTA award-winning writer, director, actor and comedian died peacefully at her North London home with family this morning. She was 62. The family ask for privacy at this very sad time."
Wood started her career in 1974 by winning the talent show New Faces aged 20, before going on to become one of Britain's most popular stand-up comics.
Tributes have poured in from the showbusiness and comedy world. Tony Hall, Director-General of the BBC,said: "Victoria Wood was a woman with a stunning array of talents - a comedian, singer, songwriter, actress and director.
"People identified with her warmth and great charm. She brought people from all walks of life together and made them laugh and cry. She will be greatly missed and our thoughts are with her friends and family."
Prime Minister David Cameron tweeted: "Victoria Wood was a national treasure loved by millions. My thoughts are with her family."
Novelist JK Rowling posted a video of Wood performing Reincarnation Song, writing: "Watch and weep. 62 is far too young. RIP Victoria Wood."
Fellow comedian Jennifer Saunders tweeted: "She was truly an inspiration and had so much left to to give and we won't see it."