Thanks all for your great suggestions, replies, etc.
It turns out I may have multiple problems you have described. I did take apart the nozzle end and adjust it to latch on better than it had, but the problem with grease squirting out between the zerk and the nozzle end still occurs. I have removed the zerks in question and made sure they can pass grease and that the hole into which they screw is not otherwise obstructed. I am seriously thinking of getting a zerk rejuvenator but it is expensive- nearly $50!

Anyone know where to buy one for more reasonable $ ?
Does anyone have a copy of the directions for a rejuvenator- I can't seem to find any online so as to determine how it works or if I want to buy it.
Also I don't understand how an essentially brand new machine ends up with zerks that won't deliver grease- I can see why if it was an old machine with lots of hours on it - but new from the factory?!
And the fittings I am trying to grease are not disassemble- able like a pin in a loader arm. The one in question is the big knuckle between the two tie rod arms that go out to the wheels. Mine is a big joint that has a bolt and lock nut in the front of the assembly and I cannot see any grease pushing out at where it mates with the front axle. And the tie rod ends where they attach to this big knuckle area do have a pivot pin of some kind that they rotate on, but I can only get grease to push out between the knuckle and the bottom of the plate it attaches to, not at the top of the knuckle. So when I lift up and down on the 'ball like' joint (the same kind as on the ends of 3ph arms), I can still hear a metal to metal clunk. I don't know if this is 'normal' for grease to only squeeze out from the bottom of the joint. Should I just brush grease on with a paintbrush at the top of the joint top keep it from clunking?
Thanks again to all who replied.