PLC A IP is aa.b.cc.12 and PLC B is aa.b.cc.13
That looks like it qualifies as "being on the same network"!
If both of these Controllers are Allen Bradley and both Logix based using RSLogix5000 then using "Produced and Consumed Tags" will be the easiest way to do what you are looking for.
(If they are not then you may have to use Message Instructions)
Right click on the tag you want to send and select "Edit Properties" if you already have the tag made. (If not select "New Tag" to make a new tag).
Use the drop down in the "Type" box and select "Produced" (you can then press the "Connection" button and select Max # of consumers, (how many other PLC will consuming (reading) this data) and there are other settings you will see on this tab and the "Advanced" Tab.
So now you have your tag set up to be Produced ( or sent if you will)
Now go to the RSLogix5000 program for the Controller that will be "Consuming" (Reading) this data, and repeat the same process as above but this time select "Consumed" in the Drop down box.
Then press the connection button and select the applicable information so the controller knows "Who is the Producer" and what tag it needs to "Consume" (or read).
I am pretty new to this myself but that is the short version that should get you pointed in the right direction.
BCS