Personal Finance

My partner recently started a new job. Prior to her employment I had been paying into my employer personal supplemental insurance as well as spousal insurance. Now that my partner has employer provided and options for employer supplemental life insurance, what should we be looking at doing? Do I stop my spousal life insurance? Or for dual income is it not bad to have both partners have self and spousal life insurance in case of things like lay offs? Also any general life insurance advice is welcome. I've never understood if it is wise to have supplemental life insurance provided by the employer or found in the open market. Thanks.