2004 Dodge Durango starting problem (Electrical issue)

I have a 2004 Durango.  I went to start it yesterday, no lights on the dash, so I
jumped it and replaced the battery.  The first obvious thing to do since the
battery was several years old.

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Within 2 hours of putting in a new battery while running errands, it wouldn't
start again.
1 - No electrical lights, dash lights, connections with anything in the car
including starter.
2 - Tried a few times and nothing happened.
3 - Last time, started just like it is suppose to.

I suspect there is possibly a loose electrical connections at the ignition or
possibly the ignition switch itself, or in the column, but I don't want my wife to
get stranded somewhere and I see there are a lot os issues with starting
problems when the battery is fine.

Any ideas???