Search flights to Edinburgh also, it's less than an hour away from Glasgow. Often flights are considerably cheaper. Unlikely to be many direct flights to Scotland. Manchester, England has direct flights to US and is also an option, there are Glasgow trains direct from the airport.

So sorry for your family’s loss. I second other posts. 1. You will need to transfer but being ticketed all the way through will make things easier. (Including checking bags if needed—but try carry-on only). 2. Book directly w airline even if it costs bit more. If there are any probs much easier to resolve. 3. In addition to suggestions, try Delta/Air france and KLM through Amsterdam. 4. Allow at least 2 hours for transfers between flights. All the best and hope this trip brings peace.

Try kayak.com, it will show the cheapest days to fly in the calendar once you supply your preferred date