It's pretty common for two people who have similar experiences in life to have similar dreams. If you both watched the same movie, saw the same things at your trip to the store, etc. then you will both have similar dreams about those occurrences resulting in odd coincidences.

It's also extremely easy to fabricate fake memories of dream experiences. Dream memories are very splotchy and inconsistent. If your memory was full of holes your brain might fill in those gaps with what your daughter explained simply because of the similarity.