Here's a pretty good back and forth about a Sav 1914 with feeding problems.
Savage 1914 .22 pump
You'll have to sign up to be able to see the pics but it's worth it and doesn't cost anything.
The guy gifting the knowledge and pics is the same person that posts on 24hr Campfire (?) & Rimfire Central,, about early pump 22's and has put some great info out there.
Here's another Sav1914 problem thread from Rimfire Central.
Exc pics but you have to sign up as well to see them I believe.
My Model 1914 is messed up! Help! - RimfireCentral.com Forums
The slide bar, being worn in either the grooves and/or the round stud at the end are a good place to look.
Also make sure the lock/lifter spring is still in place. It's a torsion type that hides under the lifter and works the lifter both down and upwards to use it as a cutoff and lifter.
They break after 100ys of use but the action slide will still drag the carrier up to feed dispite a broken or missing spring.
It just won't usually feed cleanly w/o it in place.
Numrich usually has them. I think they call it a Lock Spring or Operation Lock Spring.
Good Luck with it. They are nice accurate rifles. Love those older pump .22's.
Use Standard Vel only in them. They were never made for HS Ammo