Also, for readability and good programming practices, you should include brackets around the if (it is optional in this case, but it will make this better.
The output is also kind of hard to read. You should put ' ' or '\n' after each output, and it will look better with a std::cout << fullName << std::endl; on line 21.
Finally, this program would benefit from a switch case. http://www.cplusplus.com/doc/tutorial/control/ scroll all the way to the bottom. Switch case has fall-through execution (that's not the correct term, but you'll get the point) which means that unless you break out, it will continue executing until it hits the end of the switch block. That means you can rewrite the program with a switch case using fall-throughs for each vowel.
Another pretty simple way to do this program. If you can't use C++11, then just use your for loop and replace ch with fullName[n] like you had it in your loop.