I'm looking for a drama that has the FL working to support the ML's dreams (whether it be, singer, lawyer etc. etc)  Once the ML finds fame, or success - the FL is driven away either by the ML's family, company....  The ML then tries to find her.   (It can be any country) Thank you. 

I didn't find something that can fit all your criteria but I was able to offer you a close option :

cunning single lady