ULVERSTON, England -- The final wishes of an English teenager with terminal cancer were a step closer to being fulfilled Thursday after her online "bucket list" went viral around the globe.

Alice Pyne, 15, from Ulverston, Cumbria, posted a list of things she would like to do before she died -- which included swimming with sharks -- on her blog after finding her Hodgkin's lymphoma had worsened.

Within hours, her first post on alicepyne.blogspot.com, became a worldwide trending topic on Twitter and offers of help poured in.

Generous supporters from around the world -- including America, Canada, Australia -- offered Alice photo-shoots, hair appointments and caravan trips.

Alice, who has undergone treatment for the condition for nearly four years, thanked everyone by blogging from her hospital bed.

She said, "Oh dear and I thought that I was just doing a little blog for a few friends! Thank you so much for all your lovely messages to me."

Her mother suggested that she should draw up the "bucket list," post it online and try to get help to do as many of them has she could.

Items on the 17-strong list included meeting English pop band Take That, entering her dog Mabel into a labrador show and "to make everyone sign up to be a bone marrow donor."

British prime minister David Cameron offered his sympathy to Alice and her family in the House of Commons on Wednesday and promised to do more to promote bone marrow donations.

He said, "I'm very sorry to hear the situation facing Alice and our thoughts go to her and her parents. She sounds like a very brave and admirable person."