Odds two children and their mothers share birthday (two different days)

What are the odds that two children share birthday and, at the same time, their respective mothers share birthday two (different day from children)?
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First, let's assume that no birthdays are on 29 February (leap days) and keep to a 365-day year. The probability that the two dates are different is 364/365. The probability that either mother and child have the same birthday is 1/365, so the combined probability is 1/3652. The total probability is 364/3653=0.0000075 approx (0.00075%).

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