Good news for you it's not San Fran. Those are federally protected and illegal to even touch let alone have in your home. I'm going to take a guess and say she is a beautiful example of a Thamnophis sirtalis fitchi. Keep the baby warm, but not hot and on some most paper towels. Did the baby get their entire birth shed off? Be patient about them eating. Adult snakes take time to settle in and babies take time for their feeding switch to turn on. Their belly is full of yolk right now. For the baby offer foods like chopped night crawler or bits of talapia every other day until it eats, then offer small meals just enough to see a buldge in the belly every 1-2 days. They won't eat the spider so you can ditch that. Insects are not on their diet, as they can't digest the exoskeleton.I would suggest a vitamin/calcium powder to sprinkle on the food once a week until you have them on a well rounded diet with good variety.If you have any questions at all please ask, that is why we are here. Good luck and congrats!