SOT 23 package marked as A1⌐
Well, a quick Digikey search for "baw56" does turn up double diodes in a SOT-23 package.  Of these, at least Fairchild and NXP sell them with A1* case markings.  I'm not certain exactly which manufacturer made that part, but they're a general component in the same way as a 1N4001 diode.  For this diode pair, typical specs are Vr=~75V, If=200mA, Vf=~1V.

As Passerby points out, you can't typically measure components within a complete circuit and expect to get the isolated component values.  In this particular case, I can see a capacitor with a few millimeters of the component you're measuring that could easily mess with your test equipment.  If you wanted, you could desolder one and measure it in isolation, but unless one shows signs of obvious damage, I wouldn't immediately suspect the low-power signal diodes as being the probable cause for your board failure.