Alan wrote:There are no structural differences in terms of grammatical relations: in all cases, the participial phrase adjectivally modifies the noun 'mother'. I would note only that
1. #1 is poorly punctuated: the comma is needed before 'weeping' since the participial phrase that it introduces is nonrestrictive (i.e. just like a nonrestrictive relative clause, it supplies incidental, rather than distinguishing, information about the referent).
2. The preposing of the phrase in #3 serves, to a certain extent, to emphasize the participial phrase.