The IGI has two relevant entries for Wetherden, both for baptism of children to parents Isaac Rice and Mary Francis. One is Ann Rice 21 October 1781 and the other Hannah Rice 9 August 1794. Both are patron submissions, rather than controlled extractions from parish registers, so whichever one you think is yours needs checking in the parish register before you believe it.
Christening in Wetherden is not inconsistent with birth at Wyverstone. They are two separate events, and families didn't always use the nearest church. It could be a matter of convenience, or preference, or earlier family ties with a minister or a church. And the two places are only 4 miles apart.
Then maybe what Hannah put in the 1851 census is what she thought, rather than knew. At that time people weren't often asked where they were born, and they usually didn't keep records to tell them. So if say Hannah was born in Wyverstone, but the family moved to Wetherden when she was very young, maybe she remembered being brought up in Wetherden and thought she was born there.