  We construct Skyrme fields from holonomy of the spin connection of
multi-Taub-NUT instantons with the centres positioned along a line in
$\mathbb{R}^3.$ Our family of Skyrme fields includes the Taub-NUT Skyrme field
previously constructed by Dunajski. However, we demonstrate that different
gauges of the spin connection can result in Skyrme fields with different
topological degrees. As a by-product, we present a method to compute the
degrees of the Taub-NUT and Atiyah-Hitchin Skyrme fields analytically; these
degrees are well defined as a preferred gauge is fixed by the $SU(2)$ symmetry
of the two metrics.
  Regardless of the gauge, the domain of our Skyrme fields is the space of
orbits of the axial symmetry of the multi-Taub-NUT instantons. We obtain an
expression for the induced Einstein-Weyl metric on the space and its associated
solution to the $SU(\infty)$-Toda equation.
