  We give a new constructive method to prove existence of shared matings in the
special class $V_2$ consisting of rational maps with a super-attracting
$2$-cycle (up to M\"obius conjugacy). The proof does not use Thurston's Theorem
on branched coverings on the Riemann sphere. The background to this paper is
the master thesis of L. Pedersen (Ume\r{a} University, 2014), where one special
shared mating was studied.
