Here is a family that sailed the ship. Maybe you can connect to one of their names if you don't already have this info.
Mary

In 1834, Alexander Fleming, a young boy of eight years, known familiarly as Sandy, emigrated with his widowed mother, Lillias (nee Gregor), his two younger brothers, John and James, and his Gregor grandparents, Peter and Margaret, with their family of seven. In one record, Sandy also mentions his half sister who also came. (Perhaps his father was a widower with one child, when Lillias married him.) They sailed on the “Alfred of Alloway”, which carried eight Scottish families on board. The voyage took nine weeks and three days. They were short of water, and the food was mostly fat pork and black bread, with one bowl of oatmeal porridge in the morning.

The Flemings and the Gregors were Scottish High­landers.