About to buy a 2008 Yaris from private owner

[iwantayarisnyc]

it's a 2008, with 10k miles only , hatchback. Base model auto

We settle to a price of 10000

the question is i'm worried about the title. she says it's a clean title and it's paid off. she said she bought it in april, but NOT in full. She took out a 10,000 dollar loan on it(down payment unknown, don't know her full price plus taxes)

But she said she eventually just paid it off in full. How to prove this?

I am just worried that she can hand me a fake title(saying there is no lien on it)

Is this possible? Any precautions? Just worried I will be taking on the remaining loan.

Thanks so much!