Superwoman was originally Wonder Woman's Earth-3 counterpart. In one of the countless variations of the character, she had a secret ID of "Lois Lane." That's only ONE VERSION... I thought the secret ID wasn't necessary since in most storylines the Criminal Syndicate very much hold their entire world hostage and there wouldn't be a point for more powerful members like Ultraman and Superwoman to have secret ID's.
There are reports that Superwoman in the direct-to-video film was intended to be her world's "Mary Marvel" but I never bought that myself. She looks nothing like the Marvel Family character; they have similar powers but that's about it.
Remember, though, that the animated shows often follow their own continuities even though they dip into the original comic book stories.
They never go for straight adaptations because a) it's boring to do the same thing over and over again; b) sometimes people have a new angle that actually works out well for a series and may get incorporated into the comic line; c) most people who watch the TV shows have never read a comic and likely never will... KISS principle which comics (at least Marvel's and DC's) abandoned decades ago.