With their extremely high aspect ratio and low effective mass, nanowires have demonstrated impressive temperature and mass sensitivities. An understanding of their noise characteristics under optical displacement detection gives us the necessary insight toward their ultimate limitations, characterized by thermostatistical noise. This study features high aspect ratio, untapered, gold-tipped indium phosphide nano- wires, grown by Talbot displacement lithography facil- itated by aerosol-deposited gold nanoparticles. (Hrach- owina, Nano Letters. 2021) The pillars are 14 um tall and 107 nm in diameter. The wires were measured with a phase-locked loop in conjunction with an aval- anche photodiode. The wires exhibit a photothermal absorption as observed by the relative frequency shift. For this reason, we explore the noise characteristics of this system by means of position-dependent Allan deviation, to help us understand the behavior of nano- wire resonators by this method of transduction.