My daughter and her 2 young children are arriving at AMS from Lima and then have 50 minutes to connect to Glasgow. Is that ample time or do they have to go through security etc? Can you anticipate delays getting to boarding?
This is a very tight especially with two small kids.
If this is on a single ticket, your bags will be checked through. You still may miss the connection but if you do, the airline will put you for free on the next flight to Glasgow. This may be the next day, depending on time of arrival.
If these are two different tickets, your daughter has no chance of making it. You need to rebook this.