I mean, if we want to actually fair, presidents have fuck all to do with budgets, taxes, and spending. The House is where all spending and taxation bills originate, per the Constitution.
But as for blaming it on Bush, or the congress under Bush, that is just factually incorrect. If you want to go through the minutia of the numbers, we can. But the key points are the initial funding for the TARP program was emergency spending under Bush, in a year that was slated to have a sub $200 billion deficit. This money was all paid back, then loaned again, then paid back but, the final repayments fall under Obama's budget years. In addition, since 2009 was a Bush budget year, yet an Obama in office year, the near trillion dollar stimulus bill, that Bush did not sign in to law, is often attributed to him, instead of Obama. That year was slated to have a similar deficit as 2008 originally was.
Bush was on course for approaching budget balance in the next few years. Saying Obama was some great miser with the public purse could not be more factually incorrect.