There isn't much difference how a women would go about increasing strength compared to a man.
The difference I've encountered though is that women respond better, in the long term - to higher rep ranges, between: 15~20, with an emphasis on lower body and back.
That doesn't mean you can occasionally do lower rep work also.
The trick with any weight lifting program is proggressive resistance, pretty simple.
If I was you I would focus on full-body workouts with an emphasis in those areas.