  We build on a 1990 paper of Bukovsky and Coplakova-Hartova. First, we remove
the hypothesis of $\textsf{CH}$ from one of their minimality results. Then,
using a measurable cardinal, we show that there is a
$|\aleph_2^V|=\aleph_1$-minimal extension that is not a
$|\aleph_3^V|=\aleph_1$-extension, answering the first of their questions.
