Yes, James, before plastic pipe was as cheap and readily available as it is today, that's the way they built downspout drains. If you have a downspout that enters a clay/ceramic tile, the line runs from that probably to a french drain or into the sewer. The fix is easy. Put one layer of duct tape over where the tiles meet, shovel about one shovelfull of the non-mix cement (the kind for post holes where you just put it in place and wet it down), spray gently and quickly with a mist from your hose. When the cement has set, replace the dirt and resod or seed. If you think you know where the drain runs now, look around the area for other places where this might be happening. It will be a lot easier to fix several locations at the same time. Be carefull digging, since you don't want to break any tiles.