I agree with most of the other moms in that what you described is probably nothing to worry about. When it comes to infants & toddlers, I believe the church provides childcare so that you can go in and enjoy the church service while your child is kept in a safe place. It's not preschool and there's probably not a church curriculum for that age group. Not only that, it's only an hour or so a week. Since your church provides paid child care workers, it would be nice if they were on the floor playing with the kids, but you don't know if they were doing that earlier during the service and you caught them at "quiet time" or if your daughter was stuck in the swing the entire time you were gone. I personally don't have a problem with them showing a Barney video and letting the baby swing or play in a little activity bouncer for a little while. I'm sure if your daughter and the other children in the room, were not enjoying themselves, they would be letting it be known quite loudly. LOL :-)
My advice would be to let the care givers know you prefer that your daughter be allowed to have floor time play rather than be put in a swing to watch a video if that's your preference. I doubt they would go against your wishes if you let it be known. But at the same time, I wouldn't get too bent out of shape about it. It really isn't that much time and definitely not worth making a big deal about it if you ask me.
Now, if you walked in and found your baby crying, upset, soaking wet or something indicating she was being neglected, that would be a different story. Obviously, that's not the case though so I would just enjoy the church service and not worry that my child is not being engaged enough for that one hour out of the week. :-)