Me,
Had that same problem in the same house. Build in the 20s. Old sewer pipe to the main line under the street clogged with roots that infested the joints. Seemed like a collapsed/broken pipe, though due to concrete steps over the pipe setting.
Was quoted $17K by a shiester who wanted to replace the whole pipe from the house to the street.
I rented a jackhammer, cleared away a slab at the bottom of the steps and a couple of steps, then dug out the pipe and it was fine. Not collapsed or broken at all...just plugged with roots.
Rooter rooter cut out the roots with a knife-bit auger/snake, then twice a year application of root destroyer kept the problem at bay.
Always building a better mousetrap....PVC is the sh!t. Older and old-school is NOT necessarily better.
TJR