Q. Which true jasmine plant/vine names would you recommend for outdoors on a patio
Loved the fragrance of a jasmine plant growing on a rooftop in paris, wanted to try and replicate back home
Common jasmine (Jasminum officinale) is recommened for gardens in Zone 8-12. Your garden in Westchester is probably in Zone 6b. This means that it will be very difficult to grow this plant in your garden outdoors. One possibility is to grow the plant in a pot and to bring it indoors in winter if you have room. Some gardeners do grow jasmine successfully in Zone 6 and 7. They grow the plant in a spot sheltered from winter winds (e.g. against a south-facing wall) and mulch very heavily over the winter. However, the chances of success are not very great.
You might want to consider winter-flowering jasmine (Jasminum nudiflorum). This is a shrub producing beautiful yellow flowers in late winter or early spring. It is not fragrant, however.