If you want to know what a fair price is for the home contact a Realtor* in the Racine area.The owner may have paid to much for it when they bought the property, the market may show the value in the area has dropped or increased, if they bought it 10 years ago the value should have increased even in the current market, the owner may have done upgrades or repairs to improve the condition etc..... So going by what they paid may not be a fair value of the home. I am a Realtor* and have been servicing Racine buyers and sellers since 1998 so feel free to contact me for more info.
If all you want to know is the last purchase price you can go on http://www.racineco.com select "t" then "Tax inquiry" then type in the address where prompted.
First, it doesn't matter. What does matter to you is what the house is worth on the market today and, more importantly, what it is worth to you (or more appropriately, what you can afford to pay).
Having said that, however, the information is recorded with the Racine County Register of Deeds and can best be accessed by ordering a Title Report from a title agency. This will also, and most importantly, tell you definitively who the owner is so as to ensure that the person to whom you make an offer is actually able to deliver clear title to you.
Best of Luck.
Thomas P. Leisle Jr.