The correct answer to this open question is the following.
Although there is no text attached we can say that the connection between Gilmore's actions and the success of the Montgomery Bus Boycott is the following.
Georgia Gilmore (1920-1990) was an important figure during the Civil Rights movement in the South. Specifically, during the Montgomery Bus Boycott in Montgomery, Alabama, she was very connected with this movement in that she cooked and sold her food during the meetings and demonstrations in order to collect some money to donate to the movement. She was very committed to helping sustain the movement with her cooking, hoping the boycott could serve its original purpose.
