Domain mapping, sub-sites and SSL

I have a network setup with sub-sites and domain mapping installed as well as FrameMarket for e-Commerce. I also have an SSL installed for my root domain only (not a wildcard ssl) and would like to utilize that SSL by routing traffic to go from:

http://subsite-domain.com/store/shopping-cart/

to this:

https://my-root-site.com/subsitename/store/shopping-cart/

I am correct in thinking that routing traffic like this would allow my customers to piggyback of my root domain's SSL without the need to get a wildcard SSL?

Also, does anyone know how to get the URL to be https://my-root-site.com/subsitename/store/shopping-cart/ if I have domain mapping installed?

Any help would be greatly appreciated.

Thanks....