I have added the following to the part of the table where we have reasonable good evidence of two numbers (maker's serial number and N.O. number):
|- valign="top"
|align="right"|<!-- Maker --> Keuffel & Esser
|<!-- Maker No. --> 470
|style="background:#C9E8FF;"|<!-- Navy No. --> 0107
|<!-- Inspection Date --> 1942-12-31
|align="left"|<!-- Comments --> [http://www.sharingthepast.com/blog/2015/1/8/vintage-us-navy-sextant-keuffel-esser-made-1887-or-1888-inspected-1942 Manufactured 1887/1888?] Class: survey. Lacks stylized N+O.
|<!-- Bubble -->
|<!-- N.O. # on box --> Engraved in two places on instrument. Punch-stamped twice on hingeline of box. Class: Survey.
|- valign="top"
|align="right"|<!-- Maker --> Keuffel & Esser
|<!-- Maker No. --> 14279
|style="background:#C9E8FF;"|<!-- Navy No. --> 330
|<!-- Inspection Date --> 1931-06-11
|align="left"|<!-- Comments --> [https://new.liveauctioneers.com/item/34350185 Live Auctioneers.] Class: H.G. Stylized N+O. Unusual inlaid U.S. Navy shield with N+O and N+O 330 on it.
|<!-- Bubble -->
|<!-- N.O. # on box --> Unusual engraved brass plaque on top.
|- valign="top"
|align="right"|<!-- Maker --> Buff & Buff
|<!-- Maker No. --> 13135
|style="background:#C9E8FF;"|<!-- Navy No. --> 1365
|<!-- Inspection Date -->
|align="left"|<!-- Comments --> [http://www.la-timonerie-antiquites.com/en/antique/620/antique-sextant-1908-buff-amp-buff-us-navy La Timonerie Antiquities.] Manufactured 1908? Maker number and NO number on instrument.
|<!-- Bubble -->
|<!-- N.O. # on box -->
|- valign="top"
|align="right"|<!-- Maker --> Keuffel & Esser
|<!-- Maker No. --> 37305
|style="background:#C9E8FF;"|<!-- Navy No. --> 3277
|<!-- Inspection Date --> 1940-09-20
|align="left"|<!-- Comments --> [https://www.cloudynights.com/classifieds/item/98780-very-nice-1919-keuffel-esser-sextant-for-us-navy/ Cloudy Nights.] "1919 K&E Sextant." Class: Survey.
|<!-- Bubble -->
|<!-- N.O. # on box -->
|- valign="top"
|align="right"|<!-- Maker --> Brandis
|<!-- Maker No. --> 4244
|style="background:#C9E8FF;"|<!-- Navy No. --> 2561
|<!-- Inspection Date -->
|align="left"|<!-- Comments --> [https://www.moinat.ch/en/miscellanea/11546-sextant-us-navy-n-2551-par-brandis-son.html Moinat SA,] "Sextant 'US NAVY'' N° 2551 par Brandis & Son." I read 2561 in the photo.
|<!-- Bubble -->
|<!-- N.O. # on box --> "4244" (?) is in ink on the hingeline. Not visible on photos of instrument.
I put these three in the part of the table that has no NO numbers:
|- valign="top"
|align="right"|<!-- Maker --> Buff & Buff
|<!-- Maker No. --> 13024
|style="background:#C9E8FF;"|<!-- Navy No. -->
|<!-- Inspection Date --> 1919-04-24
|align="left"|<!-- Comments --> [http://www.la-timonerie-antiquites.com/en/antique/620/antique-sextant-1908-buff-amp-buff-us-navy La Timonerie Antiquities.] Manufactured 1908? Class: Survey
|<!-- Bubble -->
|<!-- N.O. # on box --> 13024 on box & inspection. Inlaid shield--seems to be blank.
|- valign="top"
|align="right"|<!-- Maker --> Brandis
|<!-- Maker No. --> 5996
|style="background:#C9E8FF;"|<!-- Navy No. -->
|<!-- Inspection Date --> 1920-10-08
|align="left"|<!-- Comments --> [https://new.liveauctioneers.com/item/37227113#&gid=1&pid=1 Live Auctioneers.] Maker's No.: 5996 crossed out on inspection certificate. 6006 written in green ink.
|<!-- Bubble -->
|<!-- N.O. # on box --> 5996 punch-stamped on box in large numbers near hasp. "Weems 805W" in upper-right corner of certificate--pencil? different ink? Class: Aviation. Sticker: "Directional Laboratory Instrument Service, Nautical - Aeronautical - Industrial, Ivanhoe, Baltimore, MD."
|- valign="top"
|align="right"|<!-- Maker --> Brandis
|<!-- Maker No. --> 6006
|style="background:#C9E8FF;"|<!-- Navy No. -->
|<!-- Inspection Date -->
|align="left"|<!-- Comments --> [https://new.liveauctioneers.com/item/37227113#&gid=1&pid=1 Live Auctioneers.] In box for 5996? Quadrant?
|<!-- Bubble --> Yes? Wired with on/off switch, light.
|<!-- N.O. # on box --> 5996 punch-stamped on box in large numbers near hasp. "Weems 805W" in upper-right corner of certificate--pencil? different ink? Class: Aviation. Sticker: "Directional Laboratory Instrument Service, Nautical - Aeronautical - Industrial, Ivanhoe, Baltimore, MD."
== Not added to either list ==
|- valign="top"
|align="right"|<!-- Maker --> ?
|<!-- Maker No. --> ?
|style="background:#C9E8FF;"|<!-- Navy No. --> 33?
|<!-- Inspection Date -->
|align="left"|<!-- Comments --> [https://www.bidsquare.com/l/293/8-inch-radius-brass-sextant Bidsquare.] The "No." is not the stylized N+O found on other instruments.
|<!-- Bubble -->
|<!-- N.O. # on box --> yes? "33" stamped on front in large characters. Inked? No other indication that it is a U.S. Navy instrument.
|- valign="top"
|align="right"|<!-- Maker --> Keuffel & Esser
|<!-- Maker No. -->
|style="background:#C9E8FF;"|<!-- Navy No. --> 350
|<!-- Inspection Date -->
|align="left"|<!-- Comments --> [https://www.the-saleroom.com/en-us/auction-catalogues/clars-auction-gallery/catalogue-id-srcl10018/lot-b7aed445-891d-40fb-a038-a43000b1110a The Saleroom]
|<!-- Bubble -->
|<!-- N.O. # on box -->
|- valign="top"
|align="right"|<!-- Maker --> Keuffel & Esser
|<!-- Maker No. -->
|style="background:#C9E8FF;"|<!-- Navy No. --> 438''
|<!-- Inspection Date -->
|align="left"|<!-- Comments --> [http://sailing.adventures.gr/navigation/antique-wwi-us-navy-keuffel-esser-brass-stadimeter-nautical-sextant-ship-compass/ "Antique Keuffel & Esser Co WWI US NAVY Brass Stadimeter Nautical WW1 Sextant Ships Maritime Compass."] "The stadimeter was designed in 1895 for gunnery purposes, but its first sea tests, showed that it was equally useful for fleet sailing and for navigation. Since it does not require a large instrument, it was ideal for hand-held implementations on US Navy Warships or installation in a submarine’s periscope. ... A stadimeter is an optical device for estimating the range to an object of known height by measuring the angle between the top and bottom of the object as observed at the device."
|<!-- Bubble -->
|<!-- N.O. # on box -->
|- valign="top"
|align="right"|<!-- Maker --> ?
|<!-- Maker No. -->
|style="background:#C9E8FF;"|<!-- Navy No. --> 3126
|<!-- Inspection Date -->
|align="left"|<!-- Comments --> [https://www.skinnerinc.com/auctions/2248/lots/310 Skinner Inc.] sys "Mark II, No. 3126, 1940." Inspection sticker is illegible in photo.
|<!-- Bubble -->
|<!-- N.O. # on box -->
|- valign="top"
|align="right"|<!-- Maker --> Keuffel & Esser
|<!-- Maker No. --> 8737
|style="background:#C9E8FF;"|<!-- Navy No. -->
|<!-- Inspection Date -->
|align="left"|<!-- Comments --> "8737" is punch-stamped on box with "Keuffel & Esser Co / New York." A Keuffel & Esser sticker says "No. 5225. Serial 3844 (lined through) "8737" (Added in Red Pencil). "U.S. Navy" "N" (circled) "No, 8737." No photo of that engraving.
|<!-- Bubble -->
|<!-- N.O. # on box --> Inlaid shield. Seems blank.