I was wondering if elm is OK for cooking in the oven.
Elm, in my experience, does not have off tastes or smells. Compare to hackberry which simply stinks when burnt. It is not a good firewood, though, because its grain interlocks with itself similar to acacia and locust. It is a bugbear to split. That makes it an excellent wood for tool handles, wheel hubs and sheaves; not so much for oven fuel.
The real answer is to burn some and see whether it's OK for you.