I would think it's very likely a 'permanent split-capacitor motor':-
I believe the '2 phase' label is to suggest it's a 'symmetrical' type, most suited for reversing applications.
Conect the two windings and the capacitor in a 'triangle' and apply 110v between the junction of the windings and either end of the capacitor. This allows simple reversing with a single pole switch.
Cheers