Hola Kathy, now to think of it, when we were walking from Almeria to Granada, mid way through, we did meet another family walking with son and daughter. The children might be couple years older than yours, and they were doing quite well and very happy about Camino Mozarabe!! If I remember right, the husband is a professor in UK for six years or so and originally from the States too, but moving back to the States soon because of UK not part of EU anymore with future not as promising as the States. They walked short stages but managed very well, and the children are full of energy and happy!
I didn't get their names, but another peregrino by the way of Adrian Harding who wrote about his trip on this forum quite extensively (and mentioned that family). You might want to look it up. Adrian said he loved Almeria from Granada, and also loves Granada to Cordoba but you do need to reserve a day or two in advance for that leg -- and he said he pay 20 euro for a hotel room quite often! We were walking during Easter, so you might not have the same issue with the availability of hotel rooms! Adrian said the guide provided by the Association as mentioned in #8 is very valuable for hotel reservation!
Hope this information helps you a bit. Buen Camino!