Go to lowes or home depot and in the section where they have the water heaters and pipes for them. They have a piece that goes around the pipe. It looks like one of those oragne cones you see on the side of the road or on the wet floor in the store but its black and soft metal or the same material as roofing. You take the little cap off yur pipe and slide the whole cone down over then put some sealant where the cone meets the pipe and the cone channels the water away from the pipe.

All the recommendations are viable and good, I think, and I can't add to them. I can say, however, that most (read: most, not all) fireplaces or stoves in trailers are built against an outside wall...due to space limitations. THis means the chimney (stovepipe) will exit the roof closer to the eaves. It's entirely possible the leak in the roof is near the peak, or anywhere between the stovepipe and the peak, and the water runs down to the stovepipe area where it drips into your home. So....covering the entire roof for now (until you can figure it out) is good. The best case scenario though is that the leak IS localized near the stovepipe, in which case you'll eventually fix it using roofing tar or a combination of tar and flashing as mentioned.

Remember though that most mobile homes have a farily flat roof and no eaves or peak. the few of them that do have a real sloped roof its been added on afterward.

You're right...this is true. However, they all have a "peak"...it's just not as pronounced as a conventional home's. The eaves I was referring too I should have just said "outside" or "exterior wall". True...they almost never have "eaves".

Point is though, look not only at the area right around the stovepipe but also upwards from there. However slight the pitch of the roof, water will still run down to a stopping point before it starts to drip straight down.