This is old but for anyone who is still looking for the meaning of this song, Morgan Page did an interview with EQ and give this answer:
""Fight For You" is about two jealous lovers fighting over their territory. It's a classic lover's quarrel, but with a bit of melancholy. The vocalist wrote about a situation she experienced and I threw in some lines – so it's a combined experience of several relationships."
This is old but for anyone who is still looking for the meaning of this song, Morgan Page did an interview with EQ and give this answer: ""Fight For You" is about two jealous lovers fighting over their territory. It's a classic lover's quarrel, but with a bit of melancholy. The vocalist wrote about a situation she experienced and I threw in some lines – so it's a combined experience of several relationships."
Link to the interview (http://eqmusicblog.com/eq-interview-with-morgan-page/)