How do you tell which element you have if you have the half-lifes of it's decay from an excited state.?

I've measured the decay rate of a piece of irradiated metal, I happen to know it's silver because I over heard a tutor but I'm supposed to figure that out for myself, how do I do that? I have measured a beta decay with a half life of 27 � 5 seconds and a gamma decay with a half life of 210 � 20 seconds. Having checked online I see that the first half life is close to what silver does while the second one is too high (a value closer to 145 seconds would apparently fit better with silver), but if I didn't know it was silver beforehand how would I know where to look?