In the part-schematic down below which I have found I have a split supply but also an op-amp to create this, can someone tell me why you use this op-amp at all?
If the plus current and the minus currents drawn from the supply are near equal (meaning little net ground current) than you can get by with just a voltage divider for the virtual common. If there is a significant difference, then you need the op amp to absorb the difference (the ground current).