Oh HI, Agent Bishop! Er, Lady Bishop? Something Bishop. How's it going?
I think this is the closest my story gets to having something similar to what was invented for the animated Disney version?
In Perrault's Cinderella, there is a "gentleman" who does marry a second wife, but there's no mention whatsoever of motivation. It can be assumed that he simply liked her. It can also be assumed that her personality differed to how she presented herself, as she "shows herself in her true colors" after the wedding.
(This is a little confusing, as she's presented as "the proudest and most haughty woman" in the paragraph before that, but maybe he liked that about her?)
ANYWAY, what makes this similar to the Disney version is the father's motivation being less love for themselves, and more there being a mother for their child. This is not meant as a reference to the Disney version, it just sort of works out that way.