We have used the Hipparcos
database of epoch photometry to study the variability of two Population II
Cepheids: TX Del and W Vir. We have constructed (O-C) diagrams for these stars,
using the new data and data from the literature. The period of TX Del is
decreasing, at a rate which is consistent with evolutionary predictions. The
period change of W Vir is uncertain because of the many recent gaps in the data
on this star. We urge AAVSO visual and photoelectric observers to monitor
Population II Cepheids more systematically, since many of these stars have
unstable periods, and at least one has an unstable amplitude.