The links you've given are those I tracked to find the 1851 census, and it is the same family.
The "Joseph Shackleton - Son-in-law" from evidence from baptism records, 1851 census, is Rose's son (born Joseph Hindle). "Son-in-law" doesn't necessarily have the same meaning as today, it often referred to "adopted son".
Possible marriage of Joseph Hindle to Margaret Heys 5 September 1869 - "father unknown"
In relation to Joseph's siblings: Levi Hindle could have died in 1856. Not found a possible death or marriage for Sarah Hannah.
Goughy