Free Public WiFi Attempt At Social Engineering?

Off and on through out the year, and multiple times a month, there is a 
wireless access point/network that shows up on my windows machines.

According to my "Wireless Network Connection" window it indicates it is a 
computer to computer network with the name of Free Public WiFi with full signal 
strength.

Now based on the proximity of other buildings in our complex it would be rather 
difficult to obtain a "full strength" signal from another business or neighbor. 
 

I'd like to find out what type of network this is , where it is located and who 
it belongs to, and consider it a security threat as I'm concerned that an 
employee might find it "convenient" to use and would open our network up to 
whoever is providing the Free Public WiFi.

Should I be concerned that this is an attempt at social engineering a way into 
my network?

I've thought about configuring a linux laptop to gather information about this 
wireless connection, without divulging information about my windows network, 
but am not sure what tools I would need or how to go about it or what to look 
for.

I've found some tools, like net stumbler or chanalyzer but really don't know 
what I'm looking for.

Am I overly paranoid or do I need to be concerned?