for the rosemary, you have two ways.

1) alternate the plants on the window, every 15 days. They will emerge
from the winter weakened
but alive.

2) cut down the basement rosemary to the branches (freeze the trimmings
you get for use thru the winter). It should go dormant for the
duration.

I will use the "alternate" approach to rotate the rosemary plants.
They are in small containers; therefore, I don't mind moving them
around.

I will use the "trim greeny and go dormant" approach for the jasmine.
The jasmine plant has grown to quite a handful that I don't really want
to move it around.

Thanks for the great info. I appreciate that.

also, you can leave the rosemary outside longer than the other
houseplants, and likewise put it outside earlier than the other plants.
My rosemary is still outside, and usually goes outside in April. A
light frost is fine.

Thanks. This means I will be able to put the rosemary outside early in
the spring.

Jay Chan