Standard USB-to-Serial adapter?

Is it possible to get a standard USB to serial adapter to work with an Uno with a burnt out converter? If so, any idea how to hook it up?

Yes, connect Rx to Rx, Tx to Tx, (or maybe swap those), Power to Power, Gnd to Gnd.
You'll have to press Reset on the board when the IDE shows "compiled xxx of 32xxx bytes".
Enable verbose outputs under File:Preferences to make it easier to get the timing right.

CrossRoads:
Yes, connect Rx to Rx, Tx to Tx, (or maybe swap those), Power to Power, Gnd to Gnd.
You'll have to press Reset on the board when the IDE shows "compiled xxx of 32xxx bytes".
Enable verbose outputs under File:Preferences to make it easier to get the timing right.

Do I just ignoreData carrier setect, data terminal ready, data set ready, request to send, clear to send, and ringing indicator?

http://www.db9-pinout.com/db9-pinout/db9-pinout.gif

Post a link to the adapter you have.
Those signals are usually associated with RS232 level ouputs (+/-12V or so).

CrossRoads:
Post a link to the adapter you have.
Those signals are usually associated with RS232 level ouputs (+/-12V or so).

Huge link here

This adapter was given to me, so I really didn't have any choice as to what I could get.

Yeah, that's gonna be higher level signals.

Get a TTL level output adapter:
I use both of these regularly. Different sized USB connectors:
http://www.tinyosshop.com/index.php?route=product/product&filter_name=ftdi%20basic&filter_description=true&filter_sub_category=true&product_id=186

http://www.tinyosshop.com/index.php?route=product/product&filter_name=ftdi%20basic&filter_description=true&filter_sub_category=true&product_id=600