If you've got a name and assuming it's not something common like James Smith, I'd start with 411 and see if the owner has a listed number. Plug the name into Google and into Facebook and see if something hits.
Also search for the address on Google. You might find an outdated listing or another piece of information that might give you a new direction to search.
You could send a letter to the address. Presumably sooner of later someone is going to have to pick up the mail.
If that doesn't produce a result, try leaving a letter at each house on the block. Make it something that neighbours will want to respond to. "I love the house located at XXX and want to see if the owner will sell it to me so I can fix it up/cut the grass/address whatever problem the neighbours have with the property."
Talk to a Realtor and have them see if the house has ever been listed on MLS. If yes, track down the listing Realtor and ask about the owner. There might be a personal connection or maybe they stay in touch.
If you still can't track him/her down, you can try contacting all the utility companies, the police, the bank (if there's a mortgage on title), etc. I don't think that this will have a very high probability of working but if you get the right person on the right day, they may take pity on you and point you in the right direction. I don't think they'll hand over personal information (or at least I would hope not) but maybe they'll offer to contact the owner on your behalf or have a better suggestion as to where you might want to look. This is really a Hail Mary but if you're stuck, what does it hurt to try?