Yes that's my thought too barnstaple. What was so urgent that you needed to speak to him, yet wasn't so urgent that you didn't feel able to disturb his ill parents?
If its's not urgent enough to call his parents I would say try not to call him. He's clearly not going to answer until it's convienient. You'd probably get fed up with him if he called you all the time when your dd is with you and not with him just to check everything was ok and nothing had happened to you both!
He's not obliged to give you his home number. A mobile is more likely to be with him at all times, he could be out of the house when you call. You have that and his parents number for emergencies. I think that should be sufficient. He's no more likely to answer his home number than a mobile now is he.
It really sounds like you were panicing and that what you need to calm down a little. I know it can be hard but try and find things to distract yourself so you're not worrying all the time. When you feel you really have to phone give it ten more minutes and do something to fill those ten minutes. Then when the ten minutes are up see if you can give it another 5. Or try waiting until the adverts if you are watching tv, then the next ones. Or just make a cup of tea, give the hoover a quick run round or something else to give it a few more minutes. The time will pass much quicker and you'll find you start to make less and less calls.
Be assured that if there was some kind of an emergency and no-one was able to physically say who to contact then the police etc still have ways and means of finding out who to contact. You would be contacted.
Giving him an earful might make you feel better short term but is unlikely to achieve very much and will leave you more frustrated in teh long run when you still have no number and he still doesn't answer the phone because you'll be all hysterical and panicing and thus possibly spoil his short time with dd. As I said try and think about how you would feel if he rang you several times a day worrying that something might have happened and noone had contacted him.
Hope you are feeling better now you know everything is fine. Try and find ways of coping better and distracting yourself in future and you'll find it much easier to get through it.
Take care
Gilly