THe machine coords have nothing to do with your work coords. You can set the work coords 0,0 to be anywhere you like. Just like the machine coords.

You can have HOME anywhere and Work 0,0 anywhere.

Never mind on the homing. They were nice enough to make it so you can move the dogs that trip the switch to the other side of the axis. Problem Solved..

As TP said earlier you can have it home to any position you like and still have the machine coords be zero at the lower left of your table. All you need to do is enter a Home Off(set ) value in the Homing and Limits page, that is equal to the distance the axis is away from the normal Machine Coords Zero. If you do that then when you home the machine coords will be set to the value you entered in Home Off and thus Mach will know the "true" machine coords zero is lower left.
Often it is good to have the machine home to a position upper right as it means the table is closer to you for loading parts etc.

Hood