Batteries are alive!
BTW, your post sounds just like "I've fallen and can't get up!"
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Try another charger. Chinese junk has invaded our lives. Nothing better than a real USA battery charger. And NOT a trickle charger.
Six volt batteries don't exactly fly off the shelf. Hmmmm..Wonder why? Maybe you got two "past pull date" ones.
The "born on" date should be on your battery.
Today is March 10, 2018.
OR...it could be time to move into a new millenium with a 12v conversion...
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Batteries drain and batteries lose capacity. The two appear the same...
Time and heat cause "sulphation". The battery plates get a coating that the funky electrons can't penetrate.
And yes, there are junk batteries.
But you are getting the "least chosen item on the menu". 6V. Don't EXPECT freshness.
I can hear any number of of my smart ex-bosses saying "maybe you should drive it more!".
I think the lead-acid car battery longevity record (in my experience) is about 8 or 10 years with MOST batteries giving up at 3-5 years. That's on a daily driven car. Those that sit all the time don't last nearly that long on average. Car batteries like to be discharged a bit and then immediately recharged as opposed to deep-cycle batteries than can be repeatedly run until dead and recharged indefinitely.
Once you get the thing started again check the charging system voltage. Fully charged 6V batteries come in at about 6.6v. Charging system voltage has to about 7v.