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Janet Dark is neglectful and Jack Drake is abusive if out.
My proposition is that the Drake family is now the DC's version of the Addams family. Jack is the physical manifestation of an ancient curse on an antique silver vase Janet (an obsessed historian) bought off Etsy (from John Constantine). Tim is a small Victorian boy who accidentally got sent to Hell and when returned to Earth a couple of centuries later (he charmed the satanic staff), got his papers mixed up and ended up in Gotham Bristol instead of the English one and got promptly adopted by the newly-wed Drakes.