Yes, Manchester does have the Self Service Bag Drop. However, if Bernie has a lot of bags it may be difficult for her to be in a queue and then called forward with all her luggage. I hope the staff will help her.
Also, we visited Manchester Airport for two trips this year. First one going and coming back was fine. Second one was not so good. The bag drop machine would not recognise our booking and we were ignored by the assistant, eventually we asked her to come over, she then got side tracked by a very elderly lady who was totally confused at how to use the machine. After a while the assistant came over, gave us a look that could kill and and tried to process our paperwork. Frankly she was very short with us. However, she could not do it and had to take us over to her desk and sort the problem out and said she could not understand what had happened and she ran off two pieces of paperwork from her printer for us. No apology though.