From the incorporation of the Town of Troy on February 7, 1791 to the incorporation of the Town of Lansingburgh on March 20, 1807, the Village of Lansingburgh was in the Town of Troy.

CHAP. XXXIII.
An ACT for the dividing the Towns therein mentioned.

Passed 18th March, 1791.
[…]
II. And be it further enacted by the authority aforesaid, That from and after the first Monday in April next, all that part of the town of Rensselaerwyck, in the county of Rensselaer, which lies north of a line to be drawn from a point on the east bank of Hudson’s River, sixteen miles distant from the southwest corner of the town of Rensselaerwyck, and running from thence east to the west bounds of the town of Petersburgh, shall be, and is hereby erected into a distinct and separate town by the name of Troy, and that the first town-meeting of the said town of Troy shall be held at the dwelling-house now occupied by Stephen Ashley, in the said town, and that the next town-meeting of the town of Rensselaerwyck, shall be held at the dwelling-house of James McKown, in the said town.
Laws of the State of New-York, Comprising the Constitution, and the Acts of the Legislature, Since the Revolution, from the First to the Fifteenth Session, Inclusive. Vol 2. NY: Thomas Greenleaf, 1792. 357. https://books.google.com/books?id=33s4AAAAIAAJ&pg=PA357

• Supervisors of the Town of Troy (1791-1816)

(From 1791 to 1807 the Village of Lansingburgh was within the Town of Troy.)

Detail cropped from: DeWitt, Simeon. “A Map of the State of New York.” 1802. http://www.davidrumsey.com/luna/servlet/detail/RUMSEY~8~1~2487~220057:A-Map-of-the-State-Of-New-York- The Town of Troy marked in red dotted lines.

WEDNESDAY, February 11. […]
The petition of Benjamin Holt and others, praying for a division of the town of Troy, and that part thereof may be erected into a separate town by the name of Lansing, was read, and referred to Messrs. [Asa] Mann, [Robert] Woodworth and [Henry] Shafer.
Northern Budget. February 24, 1807: 3 col 2.

We learn that the Legislature have passed an act dividing this town into three towns, by the names of TROY, LANSING, and BRUNSWICK.
Northern Budget. March 17, 1807: 3 col 3.

AN ACT to divide the Towns of Troy and Petersburg, in the County of Rensselaer.

Passed March 20, 1807.

I. BE it enacted by the People of the State of New-York, represented in Senate and Assembly, That from and after the passing of this act, the towns of Troy and Petersburg, aforesaid, shall be divided into five towns, in the following manner, to wit: all that part of the town of Troy, bounded as followeth, beginning on the north line of said town, one mile east of Hudson’s river; thence southerly on a line to be drawn parallel to the said river, to the north line of the village of Troy; thence westerly along said north line to the west line of said town of Troy, shall be a separate town, by the name of Lansingburgh; and the first town meeting shall be held at the house of Robert Waud [(1759-1822)], in the village of Lansingburgh.
II. And be it further enacted, That all that part of said town of Troy, lying south of Lansingburgh, and north of the town of Greenbush, and west of a line drawn southerly from the southeast corner of Lansingburgh, parallel to the aforesaid river, to the north line of said Greenbush, shall be a separate town, by the name of Troy; and the first town meeting shall be held at the court-house, in the village of Troy.
III. And be it further enacted, That all that part of the present town of Troy bounded on the west by the towns of Lansingburgh and Troy, aforesaid, and on the east by a line to commence on the north line of said Troy, seven miles and one-third of a mile east of the northeast corner of the town of Lansingburgh; thence southerly in a straight direction to intersect the north line of the town of Greenbush, seven miles and one-third of a mile east of the southeast comer of the town of Troy, shall be a separate town, by the name of Brunswick; and the first town meeting shall be held at the dwelling house of Nathan Betts [(1753-1844)].
IV. And be it further enacted, That all the remaining part of the town of Troy, and so much of the west side of Petersburg, as shall make seven miles in width from the east line of the town of Brunswick, cut off by a line to commence on the north line of Petersburg, seven miles east of the northeast comer of Brunswick; thence southerly parallel to the east line of said Brunswick to the south line of Petersburg, shall be a separate town, by the name of Grafton; and the first town meeting shall be held at the dwelling house of Nathan Hakes [(1761-1847)].
V. And be it further enacted, That all the remaining part of the town of Petersburg, and a triangular piece off of the northeast corner of the town of Berlin, bounded as follows, to wit: beginning on the line that divides the towns of Petersburg and Berlin, on the heighth of land where the said line intersects the west line of Archibald Jones [(1781-1868)]’s land; thence running southerly and easterly on the said heighth of land to the east line of this state, shall remain a separate town, by the name of Petersburg; and the first town meeting shall be held at the house of Joshua Randal [(1756-1837)].
VI. And be it further enacted, That as soon as may be after the first Tuesday of April next, the supervisors and overseers of the poor of the towns of Lansingburgh, Troy, Brunswick, Grafton, Petersburg and Berlin, shall meet together, at such time and place as they shall agree on, and divide the monies and poor belonging to the former towns of Troy, Petersburg and Berlin, according to the last tax list of each town, and that each town thereafter shall respectively maintain their own poor.
Laws of the State of New-York. Vol. 5. Albany, NY: Websters and Skinner, 1809. 65-66.