In re reading your post, is it possible you have not yet filed your unemployment claim yet? If so, for goodness sake, file this thing immediately! They will deal with the issues concerning your IRA and your pension distribution. YOU DO NOT WAIT TILL YOU ARE LOW INCOME OR NEED THE MONEY TO FILE THE CLAIM. Even if you have the IRA money, and will be receiving the pension, etc. you still file the claim as soon as possible after you are laid off.
For the IRA, it doesn't really matter. Even if you're taking the IRA money out in a lump sum and putting it in your bank account, it's not wages paid for work performed and it's not severance. A very cursory check of the Ohio website lists IRA distributions as something that "may not" affect your eligibility. The pension distribution, on the other hand is clearly listed as something that must be reported and may indeed affect your weekly benefits. You can't lump the two together and ask a general question about both.
In any case, this is something you need to deal with through the unemployment system. Sometimes pensions affect claims. They ask about it. Report it. Any time you begin receiving some form of employer paid pension, in a lump sum or monthly distribution, you need to make the system aware so they can issue a decision whether or not it does, in fact, affect your benefits.
When you sign up for unemployment benefits, no questions are asked about your income. Unemployment is not a needs based program where you have to document that you are low income in order to receive it. They don't care whether this money will be your only source of survival or whether you're married to a trust fund baby. It only matters that you meet the eligibility requirements. When you certify each week, there is no way for you to report an income such as money from an IRA, as it is not wages paid (or to be paid)for work performed and not severance pay from your employer or some type of pension. But ask them. Don't guess.
If you're unsure about something related to your eligibility, it is not a good idea to assume anything. I suggest you go into the system and find a living human being you can speak with concerning the issue and your particular claim. Take note of the date you did this and who you spoke with if possible. They will not usually not answer general questions, like "So what if I were to .....? How would that affect my claim?" Even if you find something written dealing with the issue, your interpretation of what it says on the internet may not be the totally correct one in your particular situation, if there's a question.
And of course, I was at first assuming you'd already filed. But if you haven't, file your claim at once, now, and let them answer the questions. If you have already filed and have a claim already set up, get in touch and ask them.