Hey and welcome to the site. Folks here have answers to nearly every question, except the Power Ball numbers.
You should post a pic so we can see the floor framing. Your challenge will be routing the waste line while not destroying your structure. You also want to minimize the number of turns so the toilet flow rate is maintained.
In a house that old, you probably have cast iron pipes which need cutting. (see pic below) You can rent a snapper or you can do it by brute determination with an angle grinder. Reconnecting to your new ABS using no-hub bands is easy.
You already have a vent pipe but the new toilet location (farther away) might require another vent location. It might be possible to use an existing on that wall ... just angle over and connect.
The proper fitting are critical. Use a toilet sweep, not a 90 degree bend. Install the closet pipe much higher than the finish floor so you can properly locate the final position for the closet flange. This write up might be helpful:
I hope other guys will chime in on your question. Knowing them, once the hangover wears off, they will start chattering ...