Inherited tenant information not given by seller

[Ricardo Hernandez]

Hello,

I am brand new at the real estate business, and just bought my first property, a duplex, and received prorated rents during closing for this month of March.  One of the tenants will vacate on beginning of May, so will only have to pay me for April.  I do not have more information on the tenant than just the name and phone number.  My question is: Should I ask for additional information (which ever that information should be), which I did not receive from the prior landlord about the tenants, even though they will only give one more month of payment?