I also would think as VP you should not be responsible for the financials.
However, I am the president of a prek-5 PTO for the second year and this year we ran into some issues with the EIN "situation". For the past 20+ years the PTO has operated under the school's tax id #. We have never filed taxes, and they have used 3 differnt banks. Staff that has been involved in the PTO for years assured everyone "this is how it's done".
This year a local bank partnered with our school and it was decided to move our banking with them as a courtesy. Our treasurer went to open the account and to make a long story short was told we can not use the school's tax #. It then got put in my lap as to figure out what was proper procedure.
Thankfully my principal helped me sort through the situation. I strongly recommend you ask as many people as possible what the proper procedure is for PTO banking/ financials. We contacted other local PTO's, the superintendant, city hall and most importantly check with your state. The end result being the bank teller was right!!
From what I have seen on this website, many PTO's do operate under their school's EIN # so of course I assumed this was ok. To save the possibility of future aggrevation I would look further into it to be on the safe side and not just take anyones word for it.