There are 5 William Milhouse bassoons in the Hichwa-Rachor database. He worked in London from 1787 till 1840 and is the brother of Richard Milhouse. Note that as did his brother Richard, he spelled Milhouse with only one “L”.
William Milhouse Literature
Adkins, Cecil. “William Milhouse and the English Classical Oboe”. Journal of the American Musical Instrument Society, Vol. XXII, 1996, pp. 42-88. [Mostly concerns the oboes of William Milhouse, but it has some important insights into the entire Milhouse family]
Hofer, Achim, et al. Lexikon der Holzblasinstrumente. Laaber, 2018, p. 481.
Jansen, Will. The Bassoon: Its History, Construction, Makers, Players and Music. Frits. Knuf, 1978, Vol. 1, p. 440.
Langeveld, Erik. Tentoonstelling van fagotten, prenten, boeken, en manuscripten uit de collectie van Henk de Wit. Amsterdam: De Ijsbreker, 1992, p. 18.
Lasocki, David. “New Light on Eighteenth-Century English Woodwind Makers from Newspaper Advertisements”. The Galpin Society Journal, Vol. 63, May 2010, pp. 77-83.
Myers, Arnold. Historic Musical Instruments in the Edinburgh University Collection, Vol. 2, Part E, Fascicle ii: Bassoons. p. 14.
Waterhouse, William. The New Langwill Index. London: Tony Bingham, 1993.
Waterhouse, William. The Proud Bassoon. Edinburgh University Collection of Historic Musical Instruments, 1982, p. 8.
Young, Phillip. 4900 Historical Woodwind Instruments. Tony Bingham, 1993.