Welcome to permies Dave
Wood ash is
really alkaline.
I'd be a bit nervous about using it without a soil test or evidence.
here's a few ways:
a) I think even the crappy home test kits will give you an idea.
b) You can often get a pretty good general picture by just googling for regional soil info.
c) Heavy, waterlogged soil is
almost always quite acidic, sandy soil in a dry climate is
nearly always alkaline
d) Check out the weeds: docks, plantain, buttercups etc favour acid soil. Chickweed, thistles, wild carrots etc prefer alkaline.
If your soil is alkaline and you want to avoid pushing up the ph, you can still use the ashes:
I don't know the science, but as has been mentioned if the ashes get wet they lose their strength.
I know people that tip them onto paths-they seem to be good for weed suppression.
If you decide to use them in the soil,
I've always learned that putting ashes through the compost is by far the best way to make the high levels of phosphorus available.
Ashes make great chicken dust baths, just make sure it's under cover as the ashes go really hard if they get wet.
You can use it to
Nixtamalize corn
There's always soap as a winter project