do first and second chair lawyers get paid the same? does this answer change if second chair brought the case to the firm?

There are many ways to handle compensation, but in general attorneys are not paid by the caae.  Most often an attorney working for a firm is paid a salary regardless of what case he/she works on or in what capacity, and will often receive additional remuneration, usually a percentage of the payment the firm receives, for "bringing in" a case.  In the situation above, the two attorneys would most likely each receive their salary, regardless of which is first chair and which second.  The first chair is probably more senior and/or highly regarded, and thus more highly paid, or he/she wouldn't be first chair.  In addition to the salary, the second attorney, who brought the case in, would probably receive a percentage of what the firm is paid.