Sure you can! All you need is a spreadsheet file that lists your data in one column and your geography (from zip codes to states to country names) in another column.
Visit the very user-friendly TargetMap website and click the Create Your Own Map button. Then chose an option to either keep your map private or share it online, for all the world to see. If you choose Share, your map gets indexed by Google and other search engines and will show up in search results. Share or not, you do have to register at the site before going forward.
And just like that, you have a lovely state, country or world map, all without the (sometimes complex) interface of Google Maps.
Happy cartography, everyone.
Need more information? Newspaper archives are one of the best online research tools. If you're searching for information on people, try Intelius.