Is there a way to get the data at the intersection of a column that meets a criteria using Index:Match and a row that meets criteria using Index:Match?

For instance, if my data is:

John Jim Kelly
Sept 0 0 10
Oct 10 0 0
Nov 0 10 0


How can I use an Index:Match combination to get the value at the intersection of Jim and Nov? Keeping in mind that my data is a bit more complicated than this, the table has 20+ rows and 10+ columns.