It is very close to Times, and several other basic fonts, but the person I am doing it for is very specific about it being the "Exact" same S. The bottom "Sprouse, Schrader, Smith" I already know the font, I just need to figure out which serif font they used for the S.

Thanks ahead of time for anyone that can help.

Baskerville  Suggested by JDanielCundiff 

Try Baskerville.

That's the closest one I was able to find. There are still some slight differences but I think it should be close enough. Thanks for the quick reply though.