For any given formal power series in two variables $h=\sum h_{ij}x_{1}^{i}x_{2}^{j}$ whose coefficients are smooth functions $h_{ij}=h_{ij}(r)$ on $I$, there is a function $H$ on $D^{2}\times I$ whose germ along $\Delta$ is $h$. An analogous statement in the case of a formal power series in one variable with real coefficients is standard (cf. [31] Exercise 13, page 384). It is an exercise to check that it is also true in two variables with coefficients depending on a parameter.