Between October 1934 and September 1935, both 1928B and 1934 $10 LGS notes were in production.
All serial numbers for series 1934 restarted at either 00000001A or 00000001*
In 2009, a well respected and known small size collector located star note serial number ranges, but sadly to this day, only annual serial number data exists for 1934 non star notes.
Here is a list of approximate cutoffs from LGS to DGS for 1934 $10 FRN's. This is based on annual serial number data and observations.
A24500000A, B82250000A, C17000000A, D18750000A, E14500000A, F10000000A, G48000000A, H11000000A, I07500000A, J08250000A, K06000000A, L20125000A.
The break from LGS to DGS occurred on November 01, 1937, based on observed notes. These are the official high serial numbers for LGS $10 1934 FRN's. A00276000*, B00900000*, C00168000*, D00228000*, E00108000*, F00096000*, G00456000*, H00096000*, I00072000*, J00084000*, K00060000*, L00204000* .
All numbers in the ranges above can only be LGS, and notes above these ranges are DGS, though early examples are transitional.
Images of 1934 LGS $10's
From the first run of 1934 E stars on 1/21/1935: E00000001* to E00024000*
From the last batch of Atlanta LGS stars on 9/28/1937, containing serials F00084001* to F00096000*
Very first batch of 1934 A stars, and only the second batch of any 1934 $10 FRN stars. A00000001* to A00024000* were printed 11/07/1934. FYI, the first batch of 1934's is B00000001* to B00024000* on 10/15/1934.
Dallas wast last to the 1934 party. The first batch of K stars was not until 12/11/1935 (K00000001* to K00024000*) . My note above is from the third printing, which consisted of K00036001* to K00048000* on 4/22/1937. Only two K star LGS notes have been recorded through all combined sources.
For kicks, compare the note below to the F star above.
The first batch of I star mules, BP is 601. This note is from I00108001* to I00120000* on 5/27/1938. This batch had very few mules, as there were very few macro plates on the presses at that time.
I am willing to answer any questions or help in any way I can.