This is an important archive covering 3 generations, published by J.N. Postgate, "Urad-serua". Urad-serua is the son of Melisah, who in turn is the son of Assur-aha-iddina<Adad-sar-ilani.

All three generations are attested in the year: Musallim-assur – which would obviously be when grandson Urad-serua is relatively young (say about 20) and grandfather Assur-aha-iddina is relatively old (say about (60) and provides a centre-point to allocate eponym occurrences. On a prima facie bais, Urad-serua eponyms can be presumed to occur after this date and Assur-aha-iddina mostly before this date.  With the extensive information on post-Musallim-assur eponyms, this enables some precision.  Curiously, father Melisah has no floruit occurrences in the late Shalmaneser sequence (other than Musallim-assur), as discussed below.

Urad-Serua

Grandson Urad-serua is attested in 10 eponyms as follows - all of which are in the Shalmaneser Sequence:

Musallim-assur

Istar-eris

Lullaju

Assur-da'issunu

Assur-ketti-ide<Abi-ili

Ellil-asared

Sunu-qardu

Assur-nadin-apli

Musallim-adad

Adad-bel-gabbe

His wife is attested in her own right in Assur-da'an.   Since all of the Urad-serua eponyms are in the sequence, this provides confirming evidence that Musallim-assur was at the head of the sequence. The 10 eponyms cover a period of about 24 years from 1251 to 1227. Thus coverage is by no means 100% within the period. 

Assur-da'an is a TN1 eponym plausibly just after the above – suggesting that contracts of Urad-serua's wife in her own right may occur after the death of Urad-seru'a c1227-25.

Assur-aha-iddina

At the other end, grandfather Assur-aha-iddina is attested in 12 eponyms, of which 1 is definite Adad-nirari 1 (from a royal inscription), 6 are definite to highly probable Shalmaneser ( 5 - definite; 1 highly probable) - the latest of which is about 1247, which is plausibly the approximate date of Assur-aha-iddina’s death in at least his 60s.  Later, Ber-suma-iddina is assigned here to Shalmaneser and the others to Adad-nirari 1.  

Eponym	Comment
Ris-assur
Assur-musezib
Agi-teshub
Assur-mudammiq
Sa-adad-ninu	Firm Adad-nirari 1 from royal inscription
Shalmaneser	Shalmaneser 1
Ber-suma-iddina
Assur-alik-pana	Shalmaneser 1
Musallim-assur	Shalmaneser 1
Assur-musabsi<Anu-musallim	Highly probable Shalmaneser 1. (see Samash-aha-iddina.)
Assur-dammiq<Abi-ili	Shalmaneser 1
Adad-shamshi	Shalmaneser 1

Melisah: 

Melisah is attested in the 9 eponyms listed below, of which there are 5 certain and one virtually certain Shalmaneser eponyms and no known occurrences of Adad-nirari eponyms. There are no post-1252 (Musallim-assur/Musabsi-assur) eponym occurrences from the late Shalmaneser sequence.  Shalmaneser’s royal inscription #20 (eponym Musallim-assur) refers to his war in Hanigalbat and Melisah was active at Nahur (see ___).  The 4 unplaced eponyms are plausibly early Shalmaneser – certainly no earlier than very late Adad-nirari 1. Serrija is placed earlier than Assur-kasid by Rollig, based on unpublished Dur-katlimmu material. This is adopted here with Serrija placed in year 3, following Musabsiu-sibitti and preceding Assur-kasid (see Shalmaneser 1 Royal Inscriptions) and the other three - Ber-suma-iddina, Putanu and Ili-qarrad placed between the very early Shalmaneser 1 eponyms and Abi-ili.  Because of the apparently restricted range of Melisah, this floruit information is preferred for allocating the early Shalmaneser slots to other candidates in the similar period with somewhat competing pulls, for which late Adad-nirari 1 dates are preferred.

Eponym	Comment
Assur-kasid	Definite very early Shalmaneser
Ber-suma-iddina	Allocated to early Shalmaneser
Serrija;	Allocated to early Shalmaneser
Putanu;	Allocated to early Shalmaneser
Ili-qarrad	Allocated to early Shalmaneser
Abi-ili<Assur-sumu-lesir;	Definite Shalmaneser
Assur-alik-pana.	Definite Shalmaneser
Musallim-assur;	Definite Shalmaneser
Assur-musabsi<Anu-musallim	Very probable Shalmaneser (see Samash-aha-iddina)