This investigation is aimed at clarifying the nature of the interstellar ga
s seen in absorption against bright O and B stars. Towards this end we have
obtained for the first time HI absorption spectra towards radio sources ve
ry close to the lines of sight towards twenty five bright stars previously
studied. In this paper we describe the selection criteria, the details rega
rding our observations, and finally present the absorption spectra, In the
accompanying paper we analyse the results and draw conclusions.