We introduce a new mechanism for generating magnetic fields in the recombination era .
This Harrison-like mechanism utilizes vorticity in baryons that is sourced through the Bose-Einstein condensate of axions via gravitational interactions .
The magnetic fields generated are on galactic scales \sim 10 { kpc } and have a magnitude of the order of B \sim 10 ^ { -23 } { G } today .
The field has a greater magnitude than those generated from other mechanisms relying on second order perturbation theory , and is sufficient to provide a seed for battery mechanisms .