A meson is a bound state consisting of a quark and an antiquark. Since each quark has spin 1/2, a meson can have either spin 0 or spin 1. The vector mesons are the ones that have spin 1.
If you use just the three lightest quarks, (up, down, strange) you can make 3 x 3 = 9 vector mesons. The ones being discussed in connection with photon-hadron interactions are the ones that have charge 0, namely ρ0 (rest mass 770MeV), ω (780 MeV) and φ (1020 MeV). You can find much more about these particles, and also other mesons, on Wikipedia.