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I have found Jane Bryant (Adelaide Baillie) in the West Ham Cemetery.  The burial records show her buried with her son Henry Edward Baillie, daughter-in-law and one great-granddaughter.  William James Bryant is not included in that grave.

William Bryant, the carpenter who died at the Leytonstone union workhouse on 30 August 1885, appears to also be buried in the West Ham cemetery, but not in the same grave.  William is buried in what looks like a separate communal grave.

I have decided that this is the same Adelaide.  While the age is 9 years younger, the birthplace was the deciding factor for my decision that this is the same Adelaide. 

Now I just need to find a marriage record to connect William Bryant and Adelaide.

Thank you everyone for the quick responses.  I will open with an explanation of the connections that I have made.  Perhaps this will answer many of the questions.

I have been tracing my father in law's Baillie tree.  My experience with birthdates, names, etc. in records is that they can vary from the actual information.

I made the connection from Adelaide Baillie in Cambridge to Adelaide Bryant in Stratford in 1881 through this thread https://www.rootschat.com/forum/index.php?topic=832689.msg7086081#msg7086081. 

The 1887 death registration that I have lists the informant as her son Harry E. Baillie and his address, 22 Cornwall Terrace, Stewart Road, Wanstead, matched his address in the 1891 census where his name became Henry Edward.  The death record described (Jane) Adelaide, age 46, as the widow of 'Gentleman' William John Bryant.

The 1881 census has Adelaide Bryant, wife, age 40, born in Middlesex living at 107 Romford Road with her son Harry Bryant, age 19, born in Cambridge.  I have Harry Edward Lewis' 29 Nov 1863 baptism record from Cambridge which lists his mother as single woman Adelaide Baillie.  Harry was born in 17 Oct 1861 in Cambridge according to his birth registration.

I have the same 1861 and 1871 census information.  I have Adelaide's birth registration which has her born Crabtree, Fulham, Middlesex, 30 August 1838 with father William Baillie and mother Margaret nee Lewis. Adelaide's age in the 1871 census was much younger, but I think that that was her given the listed birthplace.  Rosebank was near Crabtree Lane in Fulham.  Harry appeared separate from Adelaide in the 1871 census, recorded in Newton, Cambridgeshire. RG10/1583/81 p 6
 https://www.familysearch.org/ark:/61903/1:1:VFFZ-F5S.

I am trying to find evidence of Adelaide’s marriage to William John Bryant.

An update.  I have received a copy of the GRO death registration for Jane Adelaide Bryant.  Her son Harry E. Baillie is recorded as the 'informant'.  His recorded address matches the address for Henry Edward Baillie in the 1891 census.  She was recorded as the widow of 'Gentleman' William John Bryant.

I do not know where Jane came from.  Her name on her birth registration, 1841, 1851 and 1861 censuses is Adelaide.  Perhaps she borrowed the name of her older sister Jane.

I have found a marriage registered in 1877Q2 between William John Bryant and Adeliza Bailey that looks promising. 

I am going to mark this request as complete.  I want to thank everyone for their help.

There is a two volume Treichel family history self published by Ferdinand Traichel in 1968 and 1970.  You could try looking at copies.