@Linda S. I agree now that everyone made their comments on the fact that not every tenant will be willing to pay to get rid of roaches and bugs. Super good points!
I just called the pest company as I had gotten quotes and sent her the info. They stated she set up a service to go out there 3 times to get rid of the roaches, they are german roaches and multiply heavily, and also set up a quarterly service after that. The tenant had told the previous owner and he did not take care of it. She had also told him about an electrical problem that the power company was posting notices about it and he did not take care of it either. I guess the old owner was just waiting it out till the property was sold and he didn't have to pay for these things. The tenant has a 13 month old baby and sounds like a responsible mother that doesn't want roaches or mice around her child. Luckily!
I'll for sure follow up with the pest company after the set appointment to make sure they went out there and took care of the problem. Thank you guys for all the input! Now I know to not always trust that the tenants won't pay for bugs and I'll check to make sure it was done or I'll do it myself and then bill them for it.