Mgsondance, I assume what you have is a steel string guitar, whereas most guileles are built similar to classical or hybrid guitars with nylon strings and therefore have wider fretboards. Moreover, stringed instruments are usually measured by scale length (i.e. length of the resonating strings from nut to saddle), not by how long the neck is from the body. A tenor ukulele has a 17" scale, a baritone has a 19" to 21" scale.
For a narrower nut width, look at the Piccolo Guitar from Ibanez, that one has steel strings, a tenor sized body and a nut width of about 43mm. That's the only model to come to my mind with a nut width of less than 44mm. Again, this one has steel strings, hardly possible to tune to E-E. It's nut width is much too narrow for me at such a short scale with limited horizontal room on the fretboard. At the scale length of 17" to 21", I much prefer a nut width of 46mm to 48mm, and Jim has mentioned some of the great options. I'll add the new Romero Creations Guilele models with a nut width of about a 48mm and a radius fretboard. To me this is the perfect middle ground for this type of instrument.
For a narrower nut width, look at the Piccolo Guitar from Ibanez, that one has steel strings, a tenor sized body and a nut width of about 43mm. That's the only model to come to my mind with a nut width of less than 44mm. Again, this one has steel strings, hardly possible to tune to E-E. It's nut width is much too narrow for me at such a short scale with limited horizontal room on the fretboard. At the scale length of 17" to 21", I much prefer a nut width of 46mm to 48mm, and Jim has mentioned some of the great options. I'll add the new Romero Creations Guilele models with a nut width of about a 48mm and a radius fretboard. To me this is the perfect middle ground for this type of instrument.