What kind of paint should I use to paint a field stone foundation wall?
Don't!

"Painting a stone wall to make it look nicer" is "good" for a few months, perhaps. Forever after, it's a mess.

Stone walls don't need paint, don't benefit from paint, and look like [bleep] when the paint peels. Removing the parts of the paint that don't peel is difficult, so they look like [bleep] ever after.

Don't go down this road. Your house will look much better, as it has for 117 years.