Thanks for the post!
This Kellogg pump requires a large frame 1 to 2 HP Motor to push it. Nowadays the Motors you'll find on the market at this horsepower rating are much weaker then the Pumps Kellogg used to use, so I would say a modern 3hp Motor would do the trick.

Since it's a pretty heavy duty cast-iron pump, you'll want to use a large-frame, higher amperage motor so you'll have enough torque to push this guy. You'll need a 1,725 to 1,750 RPM motor rated at around 20 Amps, that should do it.

You can find something like this on our site, our Part# V102 on this page www.mastertoolrepair.com/02-hp-electric-motors-p-3959.html or our MTG-F15E1 at this link www.mastertoolrepair.com/015-hp-electric-motors-p-3958.html would push it.

I hope this helps!
- MTR

Hope this helps!

Did you replace the Pressure Switch? I'd check the Pressure Switch contacts if you haven't already, make sure they're not fried. When the capacitor went (assuming that's it) it may have burnt the switch contacts.
Make sure it's wired up correctly, of course.

Also, make sure the centrifugal switch on the Motor isn't stuck on (the copper contacts). Just click on the below link to view this info.

www.mastertoolrepair.com/how-to-clean-mo...-switch-p-23178.html

Let me know what you find!
- MTR