Given any separable Banach space $B$ and a centered Gaussian measure $Q$ on it with Cameron-Martin space $H$, does there exist a Hilbert space $G$ and a Gaussian measure $W$ on it such that following hold

1) $B$ is a dense subspace of $G$ and restriction of $W$ to $B$ is $Q$ (that makes $W$ supported on $B$).

2) $(B,Q)$ and $(G,W)$ have the same Cameron-Martin space $H$.