your skill challenge could include asking around for clues
*perception to notice some tracks on the sloping rooftop of the house
*streetwise to finally find someone who thinks they might have seen someone waling down the alley near the house but didn't think anything of it at the time.
*arcana (high), to sense a 'vector' that the magic from the one coin is leading (i.e. it must have some magical connection to the second coin)
*history (high) they recall a story about this from the past and one wizard whose husband fell prey to the curse found that by sprinkling X over the body (perhaps equal to X gp worth of natural ritual components or arcana ritual components) they wizard was able to prolonge the coma state by two more days -- so if they can do all that, they buy themselves two more days before the coma becomes permanent.
*heal check (low/moderate) the PC is able to determine what rate the body is declining, to know how long they have before she is dead
.... without my books handy, i can't remember the other skills right now
success: they're able to track down (at least the direction) that the culprit went
failure: the culprit realizes that someone is asking around town and comes after the PCs (or sends some thugs, who in turn could lead the PCs to the hideout)