I believe you have cable internet service, not DSL.
http://www.timewarnercable.com/
Many cable companies have launched Voice over Internet Protocol (VoIP)
phone service, or digital phone service. Digital phone service takes
analog audio signals, the kind you hear when you talk on the phone, and
turns them into digital data that can be transmitted over cable’s fiber
optic network. Part of the "box" provided by your ISP (Time Warner)
provides a connection for your regular old analog phone.
In the early days of VoIP, faxing generally was not well supported:
http://www.soft-switch.org/foip.html
This may have changed somewhat:
http://michigantelephone.mi.org/distribute.html
However, if you look at the forums at BroadBand Reports, the consensus
still seems to be that Fax over IP is "iffy." Here's a random thread on
the topic from last June:
http://www.dslreports.com/forum/remark,16552023
OTOH, according to Time Warner
http://www.timewarnercable.com/CustomerService/FAQ/TWCFaqs.ashx?faqID=1205&MarketID=0&CatID=639
Q: Will my fax machine work with Digital Phone service?
A: Yes, fax machines work with Digital Phone service. If you have any
problems sending or receiveng faxes using Digital Phone, please contact
your local Time Warner Cable customer service office.
You said that TW was of no help. What did they say? I assume that when
you pick up your regular phone you hear a dial tone. Try connecting
your telephone to the "fax filter." Do you hear a dial tone? If not,
the fax filter may be defective. Try connecting the fax filter to the
phone jack that your phone is usually connected to; now do you hear a
dial tone through the fax filter?
If you can't hear a dial tone when you connect a telephone to the fax
filter, the fax modem in your computer won't hear it either, and won't
work.
--
Lem MS MVP -- Networking
To the moon and back with 64 Kbits of RAM and 512 Kbits of ROM.
http://en.wikipedia.org/wiki/Apollo_Guidance_Computer