You are going to be very disappointed when you find out what I have told you is true. The troops were originally on the USS Brooklyn, and Buchanan thought that might look a little too warlike, so he ordered the troops transferred to the Star of the West so they could be sneaked in quietly. Unfortunately, Confederate sympathizer ships saw the troop transfer in mid-ocean and they headed for port where they informed the authorities. So they knew the Star of the West had troops on it when they fired the warning shots.
And no, Anderson wasn't starving in January of 1861. He was still being supplied by the locals in Charleston at that time. I think it was when they found out about Fox's plan in late March or early April that they stopped supplying him with food.
Also, the Star of the West contained provisions as well as troops.
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)