With $3011 income in 2001 for one spouse, can the maximum ($2000@) that can be funded to both spouses IRAs.?

If you were married at the end of 2001, then the maximum combined contributions can not exceed the comined "earned" income. Dividends and interest do not count. If $3011 was the total earned income for both spouses then $3011 can be put into Roth or regular IRAs. If you are talking about 2001, then the maximum in any one persons IRA would be $2000 and $1011 could be put into the other. A relative can make the contribution... mom, dad, grandmother, etc. You could not put 2000 in two different IRAs if the maximum combined earned income was $3011.

Note in 2002, the maximum contribution for a persons IRAs jumps up to $3,000 or $3,500 if they are over age 50. Same rules apply for earned income.

I have assumed that you are not talking about one spouse making $3011 and the other 160,000. In that case, the total income would exceed $160,000 and NEITHER spouse would be able to contribute to a Roth.