Baxendell afterwards had a business of his own as an estate agent. From the time of his return to
Manchester he pursued, in a quiet unobtrusive way, his studies in astronomy and meteorology, in the former of which pursuits he had the advantage of the use of the observatory of his friend Robert Worthington at
Crumpsall Hall, near Manchester. His first contribution to the
Royal Astronomical Society was made in 1849. He subsequently wrote for the Royal Society's
Proceedings, the Liverpool Astronomical Society's
Journal, and several other publications, but the greater and more important portion of his work was contributed to the
Manchester Literary and Philosophical Society, of which he became a member in January 1858. In the following year he became a Member of Council, and in 1861 became joint Secretary as well as Editor of the society's 'Proceedings.' The former post he retained until 1885, and the latter until his death. As colleagues in the secretaryship he had
Henry Enfield Roscoe until 1873, and afterwards
Osborne Reynolds. He was one of the founders of the physical and mathematical section of the society in 1859. He was enrolled as a fellow of the Royal Astronomical Society in 1858, but did not become a
Fellow of the Royal Society until 1884. In February 1859 he succeeded
Henry Halford Jones as astronomer to the Manchester corporation. Some years subsequently he superintended the erection of the Fernley meteorological observatory in
Hesketh Park, Southport, and was appointed meteorologist to the corporation of Southport. From 1873 to 1877 he was a member of the
Crumpsall local board. His scientific contributions, of which sixty-seven are enumerated in the Royal Society's
Catalogue of Scientific Papers, have been ably summarised by Dr. J. Bottomley in the paper mentioned below. Of his astronomical observations, perhaps the most important are those embodied in various catalogues of
variable stars. His meteorological and
terrestrial-magnetical researches were of conspicuous importance, and he was one of the main pioneers in detecting the close connection between those sciences and
solar physics. Among other valuable suggestions for the practical application of meteorology was that for the use of
storm signals, concerning which he had a protracted controversy with the
board of trade. He predicted the long
drought of 1868, and helped enable the Manchester corporation to regulate the supply of water and so mitigate the inconvenience that ensued. On another occasion he predicted the outbreak of an epidemic at Southport. His later years were passed at
Birkdale, near
Southport, where he died on 7 October 1887. In religion he was a churchman and a staunch Anglo-Israelite. ==Family==