perhaps it's a case of the chicken and the egg, which came first?!!
Though searches say the Essex place name refers to 'dwelling amongst the lime trees' - "lind" + "sele" that existed at the time of the Domesday Book.
However, I have seen some links to Lindsey, very hard with past accents and non conformity in spelling, to see if this is a variant of Lindsell.

Just yesterday my first vague DNA Lindsell link (5th-8th cousins) popped up, so I am trying to verify the link, sooooo many Lindsell

. The core of one group seem to be around Great Bardfield late 1600s and into Braintree 1750s onwards.
ps amazing document find, I can only just make out the names!