What you are describing is perfectly normal if the bearing parts are OK and if the race is not loose in the hub
What to look for. The hub is machined for a "drive" press fit of the race. Clean it up, get the grease out, and see if there is any movement of the race. SOMEtimes the race wears a ? cavity ? in the hub and becomes loose
Examine the race for pitting, scratches, rust, odd wear, etc. Same with the bearing cone, examine the rollers by turning them, and looking as well as you can under them at the cone inner part.
Then repack with a good grease and replace the seal. Be sure to put a little grease on the seal lip so it is not dry. No need to "pack" the entire hub cavity with a massive amount of grease
If you don't know how to adjust them, go to MyMopar and download a service manual there for free. You may have to get Dodge vs Plymouth manual depending on year
