Sandra
The fact that Samuel's Hebrew name is Shmuel (Samuel) Ben (son of) Tzvi and Ada's was Ada B (short for Bat, daughter of) Tzvi confirms that this is the same family. Since Harris is often an English version of Hirsh (ie Tzvi) the father's name on the Jewish-Gen record of the Menashe-Ada marriage certificate must be wrong.
As to Harris Levi family in the Leeds 1891 & 1901 census based (probably plus linked marriage records) versus the family in the 1911 census. They may not be the same or as you suggest they've linked the wrong records. Solomon is single in the 1911 documant - although he could have been divorced!
I've put out feelers to find if Rene, Hazel and Phyllis are alive, where they subsequently lived, married names etc. Will let you know if I hear anything.
Howard