There is no such thing as "intrinsic value", at least not in modern microeconomics, and your question cannot be answered.
Let's for simplicity imagine a market where all consumers have unit demand. In your example, then, there are 50 consumers who have a willingness to pay (WTP) for a unit of A larger than \$100, but only 40 of those have a WTP larger than \$110. Similarly, in the market for B, 110 consumers have a WTP for a unit of B larger than \$75, but only 50 of those have a WTP larger than \$100.
What you are asking for is the market price of A and of B when only a single unit is offered. But that's just the maximal WTP among all consumers in the respective market. (Strictly speaking, any price between the maximal WTP and the second highest WTP can serve as the market price here.) This number is underdetermined in your example, so you cannot answer the question which of the two single widgets will achieve the higher price.
Another way to put it: If you are given two points of a demand curve, then that's not enough to tell where the demand curve interesects the vertical axis. (Unless, that is, if you additionally know e.g. that the demand curve is linear. But that's a very special case of course.)