@jw44250 - To add to richgalloway's comment, the more information and context you can provide to the Answers community, the better chances you have of another user providing a working solution to your question. It would be helpful if you provided your current search so that experts in the community have a starting point in order help you out.
This example assumes that you will have certain fields that naturally exist in both searches (server, _time) certain fields that each search will fill in (ProblemType, ProblemCode, ProblemMessage) and other fields that will be different for the two searches (SomeErrorStuff, SomeExceptionStuff).
[error search goes here] | fields server _time ErrorCode ErrorMessage SomeErrorStuff | eval ProblemType="Error" | eval ProblemCode=ErrorCode | eval ProblemMessage=ErrorMessage | append [ [exception search goes here] | fields server _time ExceptionCode ExceptionMessage SomeExceptionStuff | eval ProblemType="Exception" | eval ProblemCode=ExceptionCode | eval ProblemMessage=ExceptionMessage ] | table server _time ProblemType ProblemCode ProblemMessage SomeErrorStuff SomeExceptionStuff
SomeErrorStuff and SomeExceptionStuff will be NULL in records that are not relevant to them.