The problem with paying to rescue the poodle is that the stupid people will probably take the money and go buy a cute new puppy and do the same exact thing to it.

And the cycle continues.
I would probably tell them that you can't afford to pay for the poodle anymore (unexpected bill or something) but that you really would love to have her and maybe they will give her to you.
I have seen people like this get rid of animals only to just go out and buy more.
Sad situation.