According to the history of the USS Brooklyn, there is no mention of troops being transferred to the Star of the West.
Shortly thereafter, Brooklyn returned to Hampton Roads, Virginia, and she remained in the Norfolk area through the end of 1860 while enthusiasm for secession swept through the deep South in the wake of Abraham Lincoln's election to the presidency. Early in January 1861, Capt. Walker received orders sending Brooklyn to Charleston, South Carolina, with messages for the steamer Star of the West which had sailed south to relieve beleaguered Fort Sumter. However, when she reached Charleston Harbor, she found the channel leading into port obstructed and learned that the resupply effort had failed. Consequently, she returned to Hampton Roads.And you really expect me to believe that a Doughface pro-confederate like Buchanan wanted Union Troops snuck into Fort Sumter. Not very likely.Source: https://en.wikipedia.org/wiki/USS_Brooklyn_(1858)
Keep looking.