one that literally screams like a baby
That sounds like Daph!
Lynn, there are smooth coat (which everybody recognizes), long haired, and wire haired. The wire hairs have a terrier like coat that has to be stripped occasionally and has the "mustache" like some terriers have. If you watch sometime when they have the dog shows on TV (usually from Westminster or the Eukanuba shows on Animal Planet)...if you catch the hound group, you will get to see an example of each coat type as there is a class for each. (but mini and standard size dachshunds compete against eachother, but they must follow the weight for their type).
Oh, and their coats are VERY soft. One just wants to pet them all day long.
The challenge with rescuing dachshunds is that county shelter workers don't always recognize a LH or a wire unless they have a very short coat,. They label them a "mix breed" so if a breed rescue is calling to inquire if they have any, they may say "no". so you have to be very vigilant and look at every dog to be able to tell the alert the rescue they are there.