  We prove that the space of pairs $(X,l)$ formed by a real non-singular cubic
hypersurface $X\subset P^4$ with a real line $l\subset X$ has 18 connected
components and give for them several quite explicit interpretations. The first
one relates these components to the orbits of the monodromy action on the set
of connected components of the Fano surface $F_\mathbb{R}(X)$ formed by real
lines on $X$. For another interpretation we associate with each of the 18
components a well defined real deformation class of real non-singular plane
quintic curves and show that this deformation class together with the real
deformation class of $X$ characterizes completely the component.
