I'm sorry to hear about the loss of your neighbor's doe.
I lost my doe several weeks ago. Problem was that she was my foster doe so she was raising her own plus another kit from my BIS rabbit. So, I had no other doe to nurse the kits. They were three weeks old.
I put goat's milk in an animal water bottle along with some goat milk kefir. The kefir is for boosting probiotics in their gut. I found mine at Whole Foods. It was pomegranate flavor and sweetened. You can use a bit of yogurt with live cultures if you can't find the goat milk kefir. Mix in a bit of kefir or yogurt into the milk, shake it up a bit and hang it on their cage. Hold them up to it so they get a bit on their mouth. They'll lick it off and get the idea.
So, I never bottle fed mine. The milk/kefir in the water bottle was much easier. I cleaned it and replaced it with fresh milk/kefir every day. You may want to do it more often the way the weather is warming up.
Keep timothy hay in their next box so they can begin to nibble as soon as they choose. Along with pellets in their mom's feeder, I added non-cooked, old-fashioned rolled oats in the mornings. This helped keep their tummies happy, encouraged them to eat, and their stool more normal.
So, goat milk and kefir (or yogurt), free access to timothy hay, pellets, and rolled oats in the mornings.
Good luck.