Catherine, it was not unusual for two children to have the same name. Often it was because the first son was named after his father, but died, and so the next born son was given the same name. As long as you document the dates, you should be fine.
FWIW, I have Barnes in my paternal tree so checked to see if we might be related. We are, by marriage, but the connection is through my maternal great grandmother.
Cheers,
Sue