Pat Shaw wrote:

Is it advisable to use wood ash on garden beds? What about in compost?

It's good for the garden provided that you don't put too much in one
spot. It has a high pH (like lime), so too much in one spot can raise
the soil pH too much. Compost is usually slightly acid so it's good to
mix it in with that. Keep it away from azaleas, camellias etc. Many
vegetables appreciate it. It might be a good idea to check your soil pH
before you start adding lots of wood ash.

Jane