Here's a few more clues and time line of what I'm seeing. I'm not quite sure what to make of the relationship between Emma Reinert, Phillip Raiger & Florence Raiger. I'm starting to think Florence was the daughter of Phillip & Emma and those two were not married and both widowed.
As you noted Emma's husband Elias died in 1879. According to Phillip Raiger's obit in 1897 his wife (Mary Rohrbach) died sixteen years prior (abt. 1881). This would also be before the birth date shown for Florence.
In Phillip Raiger's obit Florence is listed along with the other children. In an article about a birthday party for Phillip in 1897 a month prior to his death, all his children are listed as attending as well as Emma Reinert.
In the 1900 census Phillip's 2 youngest sons are found living with their sister Minnie, but Florence is living with Emma and listed as daughter.
1880 census:
https://familysearch.org/ark:/61903/1:1:MWXS-K9B1900 census(Raiger):
https://familysearch.org/ark:/61903/1:1:M3MP-8LK1900 census (Reinert):
https://familysearch.org/ark:/61903/1:1:M3M5-HJ1In an obit in 1933 for Florences's sister Laura all Laura's siblings are mentioned except Florence??? It seems Florence Raiger was more a part of the "Reinert" family then the "Raiger" family.
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Phillip E Raiger -party 1897 (See attachment)
Reading Times
Reading, Pennsylvania
Thursday, June 17, 1897 - Page 1
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Phillip Raiger obit
Reading Times
Reading, Pennsylvania
Saturday, July 3, 1897 - Page 4
Philip Raiger, proprietor of the Scott house. Eighth and Button wood streets died at his home at 7:30 o'clock last evening of a complication of diseases, aged 52 years. He was born at Palmyra, Lebanon County and was engaged in the hotel business at different periods lor the past thirty years. His wife died sixteen years ago. He is survived by the following sons and daughters: Mrs. Laura Weiser, Mrs. Stephen Gastiger, Mrs. George Scheirer, Misses Verta and Florence Raiger, Charles and Edward Raiger, all of this city. He was a member of the First Reformed church.
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Reading Times
Reading, Pennsylvania
Friday, December 11, 1903 - Page 5
"Judge Bland appointed Charles E. Reinert guardian of Florence M. Raiger minor child of Philip Raiger, late of this city."
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Reading Times
Reading, Pennsylvania
Monday, May 16, 1904 - Page 2
Charles B. Reinert, guardian of Florence Raiger, a minor child of Emma Reinert, was authorized to join in a deed with Emma Reinert and other parties interested in conveying at private one story framedweliing house and lot of ground in the village of Temple, containing nearly 18 perches, to Amnion T. SchmecK, for the sum of $380
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Mrs. Laura (Raiger) Weisser - obit 1933 (See attachment)
Reading Times
Reading, Pennsylvania
Tuesday, September 5, 1933 - Page 16
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Reading Times
Reading, Pennsylvania
Monday, January 10, 1938 - Page 14
ESTATES
An estate valued at $550 In personal property and $4,000 in real estate is distributed under the terms of the will of Emma M. Reinert, Reading, filed at the office of Reg ister of Wills John G. Keller. The daughter, Florence Raiger, is bequeathed personal property and use of the house, 1045 N. Fifth st., until it is disposed of by the executors. The residue of the estate is divided among the children, Charles E. Reinert, Kate E. Sowers, Annie M. Noll, Sarah E. Levan and Florence Raiger. Letters were issued to Florence Raiger and George M. Levan, who are named executors.
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In all census from 1900-1940 Florence is listed with last name Raiger and single.
1900 census:
https://familysearch.org/ark:/61903/1:1:M3M5-HVS1910 census:
https://familysearch.org/ark:/61903/1:1:MGD4-NMF1920 census:
https://familysearch.org/ark:/61903/1:1:M61F-BW81930 census:
https://familysearch.org/ark:/61903/1:1:XCZL-7YS1940 census:
https://familysearch.org/ark:/61903/1:1:KQJQ-8VJ