Here's the relevant section from the Kansas Handbook of Legislative Procedure (http://www.kslegislature.org/li/m/pdf/kansas_legislative_pro...):
16. Who May Introduce a Bill.
Any member or any standing committee, an interim committee of either house, and certain statutory committees may introduce a bill. Sometimes bills are introduced by two or more members (of the same house) as joint sponsors. All regular appropriation bills are introduced by the Appropriations/Ways and Means Committees. Bills sometimes are introduced by a member or committee at the request of a constituent with the notation “By Request” appearing after the author’s name on the printed bill and in the journal. A “By Request” designation often suggests that the member or committee who introduced the bill is not necessarily an advocate for it.
I doubt it really works like that in practice anymore, if it ever did (my guess is that, if you aren't important, your chances of having a bill you send be seriously considered are pretty small), but I can see why it was an attractive idea.
Yeah TFA makes pretty clear that in this case the bill was written by the greasiest lobbyist in Kansas.
https://en.wikipedia.org/wiki/American_Legislative_Exchange_...