Can i rewrite my URL like this?

[ninefoureight]

Addon domain is Jolly.com
Redirected to www.somethingrandom.com/jolly

However i want it still to appear as jolly.com

Is it possible?

(all domain name inferences are purely examples!) ;]

 

[ninefoureight]

Thanks, i've already got the addon domain and rudimentary redirection so ill try #2 suggestion. Cheers chaps, appreciated!