Imagine I have some Selenium Project ready on Computer A. When you run this project, a new browser opens in Computer A, and connects to www.somesite.com and runs the tests..
You can look up this documents to better understand RemoteWebDriver
In short things you would need to do
java -jar selenium-server-standalone-2.32.0.jar
WebDriver driver = new FirefoxDriver();
to
DesiredCapabilities capability = DesiredCapabilities.firefox();
WebDriver driver = new RemoteWebDriver(new URL("http://computerB:4444/wd/hub"), capability);
And if all the required ports are open, it should all work well.
That's exactly what Selenium Grid is for!
Have fun
And please reconsider the usage of Selenium RC which is actually an undead, better use the RemoteWebDriver instead.