Hi Megan,
No you are not going down the wrong path. These were all the children of Joseph and Jane (Gibson) Bassett. I'm not sure about the last 3 but they are mentioned in Minnie's obit. I am doing some research for a descendant of Elizabeth. Elizabeth did marry William E.Fraser but he died in 1928, she married 3 more times! I too have not found any registered births for these children and outside of Martha I think every one of them was sent to Canada via Barnardo. I'm sure the family was poor but I can't for the life of me understand why they let so many go.
Sandra