Series.to_json() >> pd.read_json() busted
#### Code Sample, a copy-pastable example if possible

```python
import pandas as pd
import numpy as np

s = pd.Series( np.arange(100), index= np.arange(100) )

pd.read_json(s.to_json())  # >> ValueError: If using all scalar values, you must pass an index
pd.read_json(s.to_json(orient="split"), orient="split")  # >> ValueError: JSON data had unexpected key(s): name
```
#### Problem description

Things are failing, while expected behavior is an identity-operation (even though with some information -loss).
I saw some issues which are possibly related on the issue-board; wanted to let you know that this is already failing at the basic level with default arguments

#### Expected Output

#### Output of ``pd.show_versions()``

<details>

[paste the output of ``pd.show_versions()`` here below this line]
INSTALLED VERSIONS
------------------
commit: None
python: 3.7.2.final.0
python-bits: 64
OS: Linux
OS-release: 4.15.0-46-generic
machine: x86_64
processor: x86_64
byteorder: little
LC_ALL: None
LANG: en_US.UTF-8
LOCALE: en_US.UTF-8

pandas: 0.24.1
pytest: None
pip: 18.1
setuptools: 40.6.3
Cython: None
numpy: 1.16.2
scipy: None
pyarrow: None
xarray: None
IPython: 7.3.0
sphinx: None
patsy: None
dateutil: 2.8.0
pytz: 2018.9
blosc: None
bottleneck: None
tables: None
numexpr: None
feather: None
matplotlib: None
openpyxl: None
xlrd: None
xlwt: None
xlsxwriter: None
lxml.etree: None
bs4: None
html5lib: None
sqlalchemy: None
pymysql: None
psycopg2: None
jinja2: None
s3fs: None
fastparquet: None
pandas_gbq: None
pandas_datareader: None
gcsfs: None

</details>
