It is against Google's TOS to have more than 1 Places listing. If (as is the case in some countries) there is no 'Report A Problem' link on the Place page, you may (as suggested by a Google Places rep (I have the link somewhere) claim the duplicate and then delete the undesirable one: follow the steps as Storwell Self Storage has laid out.
If the Places page/s is in the USA, you'll want to follow Jacob's suggestions, as well as #5 from Storwell Self Storage
- wait a couple days, if that listing is still showing up in the search results, go to its places page, and click the Report A Problem link, and select “Place has another listing”. If you can, include a link to your claimed place page in the comments section.
Here is the link to the Google Places help page for duplicate issues:
http://www.google.com/support/places/bin/answer.py?hl=en&answer=183009