How come no one sells anything like this? Sometimes I need a light source that's bigger than a diffuser cap but not 28" huge (the smallest umbrella I can find). It would be useful for food photography, especially social food photography when the food usually comes with friends, so the lightstand should be able to fit (momentarily) on a table, providing the soft light I need when bounce flash sometimes isn't sufficient. Table-mount umbrella lightstands are also useful for party portraits, since counter/tablespace is often present.
I'm looking for something like a 6-16 inch umbrella with an appropriately-sized lightstand, not any bigger or smaller. The stand should be able to accommodate a regular-sized speedlite (not necessarily suspending it, but be able to fit the umbrella over it).
Brollies are most commonly measured across the arc, so they aren't as big as you may think. But if six inches is hardly going to give you much in the way of light spread, and there are certainly many mini softbox type things that would be easier to work with than a brolly.