You might be content to just install the new modem and set it so that it doesn't conflict with the other one. IRQ can be the same, but the COM port cannot. Then you can just tell the communications software to use the other port instead.
--BTW
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"I have five little fingers on one little hand,
There's six on the other, I don't understand.
Through all the long hours, 'til daylight is through,
There's nothing at all for one finger to do!"
--Text to a song rewritten by John Bytheway
(And yes, that's his real name; no, I'm not him.)
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