Additional Tenant Screening?

[Valerie Marlowe]

We have an application from a potential tenant- a woman living with her adult special needs son. 

She has 3.5x verified monthly income, 680 credit score, but no rental history, since she has been living in a house she owns outright for the past 20 or so years. She says she wants to move since the neighborhood she lives in now has seen an increase in crime in recent years (her address verifies this, property records also show her as owner of the house with no outstanding issues over the years).

FWIW, there don't seem to be any red flags- she seems lovely and has submitted everything we've asked for. We're just relatively new landlords and don't want to make a mistake. Would you do any additional screening on this tenant to account for the lack of rental history?