Kidnapping is toyman's M.O. most of the time. But its not his end game. What I mean is, Joker or Toyman kidnap kids to ransom them or hostage them, or as retribution in the case of snatching the mayor's kid or someone they have it out for. But, in the case of Mad Hatter, he isn't kidnapping the kids to ransom them or for any larger purpose. He is kidnapping kids cause he wants the kids. Thats his goal.
Same way there are villains who are bank robbers, then there are villains who might rob a bank but its only to get money to fund something bigger... like if Mr Freeze or Clayface need chemicals or something. They aren't really bank robbers, in my book.
Joker is always snatching kids up, but usually its the kid of somebody he has beef with and the kid is a pawn. With Mad Hatter the kid is the target, for his dress up tea parties or whatnot.
No, you are correct. Her origin as well as many other characters have changed many times as you indicated. But you are wrong to minimize Frank Miller's role. People associate all Frank Miller Batman stuff with 'The Dark Knight' which is the most well known of his Batman work but is not considered canon in the main DC universe. However, they
specifically had Frank Miller write
Batman: Year One as a fix for the lack of origin continuity within the Batman titles. It is not only canon, it is the base for all future Batman works within the continuity for all of the 90s and 2000s. Year One is everyone in Gotham's origin, in detail.
Its all undone now as of the DC-52 reboot in 2011... so I don't know whats been going on since then, but from about 1987 to basically 2011 that was her origin, with few exceptiions. One, obviously being the cartoon. But they couldn't use entire characters for the cartoon at first (Deadshot, Firefly, none of the serial killers like Abattoir or Mr.Tzaaz, etc... ) so many of the cartoon versions were completely toned down or ommited entirely. However, because the cartoon was so insanely popular, the cartoon begin to have more sway than the comics and the cartoon started influencing and changing the comics retroactively (or retconing). They go back and start inserting tv only elements like Harleyquin into stories that happened way before she was even thought of. Same thing happened with Wolverine in Marvel. He wasn't introduced until the 70s... but when he became super popular they started retconning everything, slipping him into Captain America stories from the 50s and X-Men stories from the 60s.
But yeah, before Selina was saving p*ssy, she was selling it.
http://dc.wikia.com/wiki/Catwoman_(Selina_Kyle)#Origins
no patience anymore breh
i never was gonna check for it. how you gonna try to ride the batman wave and not even have the story be about batman 
which turns to 
as soon as 
..."suuuunshiiiine"