The effect of the Toba eruption would have certainly impacted some ecosystems more than others, possibly creating areas, or refugia, in which some human groups did better than others throughout the event. Whether or not your group lived in such a refuge would have largely depended on the type of resources available.
Researchers have been studying an archaeological site at the southern tip of South Africa where there is evidence of this kind of human refuge during glacial periods, from around 195,000 to 130,000 years ago and again between 74,000 and 60,000 years ago. Coastal resources, like shellfish, were highly nutritious and less susceptible to the eruption than the plants and animals of inland areas.
An eruption a hundred times smaller than Mount Toba—that of Mount Tambora, also in Indonesia, in 1815—is thought to have been responsible for a year without summer in 1816. The impact on the human population was dire—crop failures in Eurasia and North America, famine, and mass migrations. The effect of Mount Toba, a super-volcano that dwarfs even the massive Yellowstone eruptions of the deeper past, would have had a much larger, and longer-felt, impact on people around the globe.