Blue Willow by Churchill Dinner set.

You didn't list exactly how many pieces to your dinnerware set that you have, so I'm directing you to a retail website that will give you an idea as to how much it would cost to replace each piece should a disaster occur. (I have a girlfriend whose entire wedding china set was destroyed when the cabinet detached itself from the wall from the weight! Yikes!) Your "Blue Willow" pattern is still in production today, it's a classic! I'm like your grandmother, too. I have multiple sets of fine porcelain. I just love it and would buy more patterns if I had a place to store it! https://www.replacements.com/china-churchill-willow-blue-georgian-shape/c/10229

The blue Willow design is probably one of the most reproduced of any of the original antique designs. Originally blue Willow was based on Chinese folklore, produced in England as far back as the 1700's. The values for these 20th century reproductions tend to be very modest in the current time due to downsizing by the Boomer generation and estate settlements. Most sets sell for under a $100.