If you're financing the home, obtaining insurance for a home that age could be difficult, so you may want to talk to some insurance agents before making an offer.
If you go forward with an offer, you'll definitely want a full home inspection, as well. You want to make sure that the structure is sound.
Older homes are beautiful, and I have a great deal of respect for those who choose to preserve our history. However, owning an older home can also be an expensive undertaking, and I say this as someone who grew up in a home that was built in 1910.
A 160-year-old house is not a typical home for a first-time Buyer. It can be costly to own and maintain. I just want to make sure that you're going into this with your eyes open.
Please work with a Buyer's agent on your purchase--someone who will be working to protect your interests, and will guide you through the process. Good luck with your purchase.