Chimneys - can this be done?

I'm hoping to install a cookstove in our summer kitchen for occasional use. The problem is that some previous owner in the 50's decided to take the original stone chimney off. The flue is still there and goes where I need it to go. I really can't have the chimney replaced at the moment and won't likely be able to do it for a number of years (other parts of the house that are existing need attention). Until then, I'm wondering if it's possible to use a prefab top and connect that to a liner. That wouldn't be a huge investment and the liner would be needed eventually anyway.

I'm curious if anyone has done this or knows if it can be done.

Thanks for any suggestions!

I don't have a picture (there's nothing to have a picture of) but if you can visualize a roof with no chimney that's what I'm starting with. The original chimney was at the peak and just below the roofline is an old (stone) flue where it once connected to the masonry chimney above the roof. Sometimes, when there's frost on the roof, the area where the chimney was is melted so we know it goes to the roof.

What I want to do is connect a SS flex liner to one of these (something like the one in the middle): and have it join at the roof line.

Yup, that's exactly what I'm wanting. Just wasn't sure what to call it - so it's class A.

Thanks for your help!

Thanks for all the suggestions, I'm going to check into doing this soon - will provide pics if it happens!