I have never heard of money effecting unemployment. It definately effects things like food stamps and other aid programs.
Unemployment is based on your ability to work and actively seeking a job and taking any comparable job offered to you, that is comparable to your last job.
I checked the Illinois site and there are lots of “official” rules that make it difficult to collect. For instance day labor, “favours for friends and relatives” and volunteer work, even if unpaid must be reported. Does anyone do this? I doubt it, but it’s supposed to be reported.
I know it’s even possible to collect unemployment while on workmen’s comp, though the latter will be reduced and you must be seeking some kind of work.
You can collect social security and be on unemployment, again you have to be actively seeking work. And again, the unemployment office can require proof of your job search.
Things that can effect unemployment include, a severance package, settlement of a lawsuit against that company, other benefits paid by that company, but remember these MAY effect it, that doesn’t mean it will prevent you.
In some cases it won’t prevent you at all, in some case it will and in some cases it will result in a reduced benefit. Unemployment offices base their decisions on how the money is structured. But you will notice that in those type of examples the money is coming from your former employer.
In the OP example the unemployment office will require you to report all INCOME earned or all work done even if unpaid (at least in Illinois you have to).
Is lottery money income? The federal government taxes lottery winnings as “other income” so I believe you’d have to report it and your weekly benefit would be adjusted.
The OP example doesn’t make it clear if you collected the lottery before or after you applied for unemployment, it says “just as they were laying you off.” which is ambiguous.