The Edward Webster House, 135-139 West Second Street, sits on the east ridge of Telephone Hill Historic Neighborhood overlooking downtown Juneau. Photographs of Juneau during the 1880s confirm that the Webster House was one of the early homes in the area. Robert E. Hurley, the grandson of  Edward Webster and Anna Faulkner-Scott-Knutson-Websterr, owned the home when the 1984 Telephone Hill Historic Site and Structures Survey was conducted in 1984.

Edward began construction of his house in 1882, and numerous extensions were added during the next 70 years (Hurley, Carrigan 1983). District Recorder records and the 1894 plat map of Juneau Townsite show Edward Webster and his business partner, Frank Bach, owning Lots 7 and 8 in Block 1.

The Webster family owned and operated the Juneau & Douglas Telephone Company from 1893 to 1968, the first commercial telephone service in Alaska. The phone company offices were located in the Webster home from 1915 to 1958 (DeArmond 1967; Hurley, Carrigan 1983).

Telephone Hill Historic Site and Structures Survey, 1984, evaluated the structure's architectural significance and concluded that with its numerous additions and alterations, the house was been altered beyond recognition of its original Classic Box design. These modifications contribute to its loss of architectural integrity, and was deemed a non-contributing structure to the Telephone Hill Historic Neighborhood.

The Webster House is listed on the Alaska Heritage Resources Survey (AHRS JUN 070).