Nets were likely in use during the last millennia of the ice age.
The first ropes were likely vines or other plant fiber. It was only when humans learned to twist and braid them that it was possible to work them into nets. Considering the general division of labor, they were probably done by the women and children of a tribe.
Nets were used to catch marine life, as in the modern world. However, they were also used to capture small land animals such as rabbits and foxes. In all cases, the nature of the device would have made all hunts of this nature a communal activity.