Hello
You're right that Eleanor wasn't married but there are a couple more children for her.
William 25.5.1789 Broseley
Robert and Joseph 11.3.1792 twins bapt 2.4.1792 Shifnal Joseph was buried 19.10.1829 at Shifnal.
The couple that look right as her parents are Joseph Beech and his two wives Eleanor buried 18.4.1848 and Catharine 1725-6.8.1775 of Lime kiln bank Shifnal.
He was buried 5.2.1789 Joseph Beech labourer.
There are no marriages i can find for Jos and his wives but the children at shifnal are as follows.
Mary 13.4.1748- 2.4.1833 (Sains Lane) with Eleanor -
Anne 2.8.1752/15.7.1752 with Catharine
William 10.6.1758/2.7.1758
Elizabeth 14.4.1763 bapt 17th
Sarah 26.11.1765/8.12.1765 daughter Helen 18.2.1801 bapt 22 and son Thomas 23.3.1794
William 2.7.1769
As you can see plenty of gaps for Eleanor.
(There is also a possible brother John and his wife Mary nee James married Newport 23.6.1770 bought back to Shifnal by settlement order 1782 with children Thomas,William 1774,Eleanor 1776,John 1779,Ann 1781 but obviously this Elanor is too young to be yours).
Ciderdrinker