We cool emulsified liquid water below 130 K at a rate of 10(3) - 10(4) K s(-1) at approximate to0.5 GPa and vitrify it under pressure. We recover the produced glassy sample at 1 bar and 77 K, and examine it by Raman spectroscopy, x-ray diffraction, and visual observation. We find that the emulsified glassy water, when heated from 77 K at 1 bar, exhibits a distinct volume expansion around 130 K and becomes a second amorphous state. The second amorphous state becomes ice Ic at 160-170 K with a negligible volume change. This behavior of the high-pressure emulsified glassy water resembles that of high-density amorphous ice made by pressure-induced amorphization of ice Ih.