citations - Quote a sentence with references

I'm currently writing my bachelor's thesis and I'm using the IEEE citations. Now lets say I want to directly quote the following sentence:

The barn was on fire¹ so I ran away.

with something like this in the footnote:

1) Some Research Study, 2011

How would I cite this directly? The source I'm using doesn't provide any more information than the name of the Research Study.

My guess was:

"The barn was on fire (Some Research Study, 2011) so I ran away." [13]

---

Thanks in advance,

Mike