I have researched the Crouch side of my family and as I said above, my grandfather was called Robert (as were his father and grandfather), there is no sign of any other Robert Crouch's in the family as the line goes like this:
Robert Crouch married Sarah Shersby in 1813, they had 2 children, Henry William & Herbert (Herbert died in childhood).
Henry William married Elizabeth Bromley in 1840, they had 1 son (Robert Henry).
Robert Henry married Jane Mary Ann Damiral in 1863, they had 7 children, Henry Robert David (died n 1900, had 2 children, Alfred Robert & Lily Harriet), Rose Elizabeth Ellen, Robert Peter, Jane Mary Ann, Alfred Matthew (Alfred died in childhood), Herbert Douglas & Eleanor Olive.
There doesn't appear to be any trace of Alfred Robert Crouch from 1901 onwards but as I know that my grandfather lived with Rose & William, I think it is more likely that the Robert with them in 1929 was my grandfather mistakenly added and not Alfred having dropped his first name.