  We consider NS5-branes distributed along the circumference of an ellipsis and
explicitly construct the corresponding gravitational background. This provides
a continuous line of deformations between the limiting cases, considered
before, in which the ellipsis degenerates into a circle or into a bar. We show
that a slight deformation of the background corresponding to a circle
distribution into an ellipsoidal one is described by a novel non-factorizable
marginal perturbation of bilinears of dressed parafermions. The latter are
naturally defined for the circle case since, as it was shown in the past, the
background corresponds to an orbifold of the exact conformal field theory coset
model SU(2)/U(1) times SL(2,R)/U(1). We explore the possibility to define
parafermionic objects at generic points of the ellipsoidal families of
backgrounds away from the circle point. We also discuss a new limiting case in
which the ellipsis degenerates into two infinitely stretched parallel bars and
show that the background is related to the Eguchi-Hanson metric, via T-duality.
