Many thanks to Daddykitty and Cheezit. Let me recount what happened:

I tried what Daddykitty had suggested and the alarm stops honking. However, the engine would not crank over when I tried to start it.

The next step is to try Cheezit's suggestion. I rolled the window down and put the key to ON position. Then disconnected the batteries. Then reconnected the passenger's side battery first--the alarm honked once. Then reconnected the driver's side battery. Turned the key from ON position to start and it started right up!!!

Bud, I could not tell if this 05 PSD Crewcab has a Ford factory security system or aftermaket. However, the Owner's manual does address a "security system" and there is a separate "Security System Manual". Just that they do not tell you what to do when replacing the batteries.

My thought on this is that the alarm system wants to see the key in the ignition to perhaps prove that the owner or authorized person is working on the truck before it allows it to crank over.

Many thanks and Cheezit you never failed!!!

Towme