"But does anyone have any suggestions as to why the place was stated for this baptism, but not for any others on this page?"
Because the other entries refer to families who lived in the parish of Uttoxeter whereas this child was born elsewhere, perhaps in the grandparent's native hamlet or village? 8 miles was not far to walk in the 1600s !
Or perhaps the other way round: the parents lived in Wood-end and the grandparents (where the child was born) lived in Uttoxeter. The child was a bit sickly and was baptised within a few days?