The visitors made life difficult for Marc Skinner’s side and frustrated the Reds throughout the afternoon.
But Galton was on had to slot home the winner in the second half, a goal that could prove vital in United Women’s push for Champions League football.
She said: “Three points [were] needed, and that’s what we did today. It’s a bit of a relief because it was a bit of a scrappy game. We got there in the end.”
“I watched it on the floor roll in and it was the longest three seconds of my life!” added the England international.