Are you attempting file sharing?Configure the firewall settings if that does not work turn off your firewall. But that may harm your laptops as virus get easily infect your laptop without firewall permisson. Try not to use file sharing between laptops often.
First you have to check your IP settings, make sure they are on the same network, ie: 192.168.1.225126.96.36.199 and the other 192.168.1.32188.8.131.52 they have to be different, then try to ping both hosts to check if there´s eply if there´s no reply then ping localhost and 127.0.0.1 to check if your network card is working correctly.
If you have success on these tasks then check the firewall config to see if it is configured to receive connections on the lan and if it ca receive ICMP packets on the network, also you try to connect the shares by typing the computer name on the address bar preceded by the back slash, ie: \\oldcomputer or \\newcomputer.
Keep in mind that file sharing across your network wont harm any computer, thats why network computers exists.