Low Fuel Level Stall on Deceleration

Interesting phenomenon I'm experiencing in my 1998 RL SE... I find that once I allow the fuel level to fall below about 1/8 of a tank, the car will simply stall as I brake at a traffic light or stop sign - or even drive down a steep hill. Once I fill the tank, the issue goes away until I consume that tank again. When filling the tank, the fuel level is not even low enough to illuminate the low-fuel light - and the car takes a full 14 gallons (tank is 18).
I don't see a lot of other posts about this situation, so I'm thinking this might be an issue unique to my car... Any thoughts?

The simple solution, of course, is to fill up at a 1/4 tank... but it seems to me that this is NOT normal behavior.

Thanks everyone!