lead flashing

Hi, Guttering question. My house is about 150 years old and the guttering is a trough built into the top of the wall. Stone tiles on the roof and the gutter doesn't protrude over the edge. I don't know what you call this system but it's lead lined and I don't think it's sound. The lead doesn't...

We have just had a conservatory fitted, (at great expense) but each time it rains, water has leaked down the inside newly plastered wall and appeared to be from behind the box guttering. (hip back glass roof to house wall) It appears the firm have just stuck their lead flashing, under our old...