Terry, I am not going to get an attitude about what you do. I have spent time with a lot of family members during these times of crisis and while many have "their own faith". If you have told them your role and they kind of reject you, you could at that point, since your role is ultimately to listen, just ask them to tell you about their belief system and how that it comforts them. They might try to convert you a bit (I'm sure you are immune), but it gives them a chance to express themselves and know that you are a safe person. They do not want their belief system challenged as they are about to meet their maker. Or not, as the case may be. It might be a comfort for a JW or their family to express their belief as to what happens after death and how it comforts them. If they know you can listen, then if they(patient or family member) is feeling alone or scared, they will know you are a safe person to turn to for comfort. As you knowing, dying is not something that is particularly efficient or organized or predictable(as to details, obviously, we all die!). There will likely be times and opportunities that will bring you closer to them. If they keep rejecting your chaplain services, then take off your nametag and just bring them some cookies and hold their hand. That's my best suggestion.