  Based on the light an exoplanet blocks from its host star as it passes in
front of it during a transit, the mid-transit time can be determined. Periodic
variations in mid-transit times can indicate another planet's gravitational
influence. We investigate 83 transits of TrES-1 b as observed from 6-inch
telescopes in the MicroObservatory robotic telescope network. The EXOTIC data
reduction pipeline is used to process these transits, fit transit models to
light curves, and calculate transit midpoints. This paper details the
methodology for analyzing transit timing variations (TTVs) and using transit
measurements to maintain ephemerides. The application of Lomb-Scargle period
analysis for studying the plausibility of TTVs is explained. The analysis of
the resultant TTVs from 46 transits from MicroObservatory and 47 transits from
archival data in the Exoplanet Transit Database indicated the possible
existence of other planets affecting the orbit of TrES-1 and improved the
precision of the ephemeris by one order of magnitude. We now estimate the
ephemeris to be $(2455489.66026 \text{ BJD}_\text{TDB} \pm 0.00044 \text{ d}) +
(3.0300689 \pm 0.0000007)\text{ d} \times \text{epoch}$. This analysis also
demonstrates the role of small telescopes in making precise mid-transit time
measurements, which can be used to help maintain ephemerides and perform TTV
analysis. The maintenance of ephemerides allows for an increased ability to
optimize telescope time on large ground-based telescopes and space telescope
missions.
