premise: A lady is pushing a stroller. hypothesis: The new mother is showing off her new baby to all the churchladies.
neutral: A lady pushing a stroller doesn't mean that she is showing off, doesn't mean that she is a mother, doesn't mean there is a baby in the stroller, doesn't mean that anyone who might be in the stroller is "new", and doesn't indicate the presence of "churchladies" or anyone else.