<VV> batteries/shorting?

[Steve Oxford]

Working on a 63 vert. A month ago brand new 51R battery from Wal-Mart. Dead in two days. Last evening got a replacement (same battery code etc).  Installed last night, today at 5PM dead dead dead. Only lights that are in-operable are the brake lights. Should I suspect the switch? Or????
How does one track this down, Have already checked the glove box light, lighter, high beam switch, has new cables etc. 
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Ed - A common problem with EMs is that the wire in the driver's side heater hose shorts out against the starter hot terminal, draining the battery.  If that is happening with your car, you can get a rubber sleeve from Clark's (and maybe others) that will insulate the hose wire from the starter terminal.

Steve Oxford/'63 conv