I hope your mom doesn't have any serious illnesses? I wish her health and longevity, may she delight you with her presence for many years to come. I think GetTransfer 
https://gettransfer.com/en/directions/spain/lanzarote would be a good choice for you in this situation. She will definitely feel great because the drivers there are very courteous. What's more, you can book a car in advance and pay for the trip so that your mother doesn't have to think about it. She will simply leave the airport and be met by a driver holding a sign with her name on it, who will load all her luggage and help her into the car.