Observations made by the High Resolution Fly's Eye detector in stereoscopic fluorescent mode revealed correlations between arrival directions of ultra-high-energy cosmic rays and positions of distant BL Lac type objects (Gorbunov et al. 2004, Abbasi et al. 2005). They implied the existence of non-deflected particles travelling for cosmological distances, which was hard to explain within standard physics and astrophysics. These correlations have not been conclusively tested with independent data. Here we present the results of such tests performed with the use of two different methods and Telescope Array data.