It's true, financial needs often made widows seek if possible to re-marry. That could cause some confusion if both partners had children on close ages, I spent ages disentangling two males with exactly the same name and apparent age in censuses after their parents' marriage brought two families into one!
Several smallish children, death of the provider father, and no capital or helpful family could be a swift route to the workhouse in the 19th Century for many women and their families, unless they could re-marry.
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