Notts County were the first league team founded in 1862. But who did they play against in their first game?

Well, I tried to look this up but the offical website has to be accessed via registration and I don't want to do that, ta.
http://www.nottscountyfc.co.uk/

It's now available:

Notts County Football Club, now universally recognised as The World’s Oldest Football League Club, was formed in 1862. Official formation followed two years later as the 'Notts. Foot Ball Club'. Pre-dating The Football Association, the club initially played matches of its own devising at Park Hollow, inside the grounds of the old Nottingham Castle. In 1864, the decision was made to take on outside opposition from both England and Scotland, which led to a move away from the club’s initial home to allow for larger crowds.


The following years saw the club appear at numerous locations, including Castle Cricket Ground (1894), and Nottingham Forest’s Town Ground (1895 and 1896) and City Ground (1899 to 1909). However, the club’s main home, from 1883 onwards, was Trent Bridge, until the permanent switch across the river to Meadow Lane was completed in 1910. In 1888, Notts became one of 12 founder members of The Football League and ended the first season in 11th place, above Stoke City.

https://www.nottscountyfc.co.uk/club/history/club-history/

The Football League was not established till 1888. The members in the first season (1888 - 89) were Notts County, Preston North End, Aston Villa, Wolverhampton Wanderers, Blackburn Rovers, Bolton Wanderers, West Bromwich Albion, Accrington Stanley, Everton, Burnley, Derby County and Stoke City.

All these clubs were presumably already in existence when the League was founded. Previously, they would probably have played in local leagues or would have arranged friendly matches from time to time.

Their first ever game was played in December 1864, at Park Hollow (aka The Meadows).
http://carousel.royalwebhosting.net/utm/maggies09.html

Their first game 'of any note' was in January 1865:-
There are some similarities in the formation of the Sheffield club, the oldest club in the world, and Notts County, the oldest Football League club ... Sheffield was formed on October 24, 1857, after informal play since 1855, and Notts County on December 7, 1864 after informal play since 1862. The two clubs first met in the 1864-65 season, the first important match on record played by a current member of the Football League. The Nottingham Review of January 6, 1865 reported that the match 'attracted a good number of spectators. The Notts Club has only just been formed while the Sheffield one is of long standing'.
http://www.sheffieldforum.co.uk/archive/index.php/t-498097.html
footballbetting.uk.co/soccer-ohi04.htm no longer exists

Their first FA Cup game was played in Round 1 on 27th October 1877. The 1877-78 FA Cup was the first in which clubs which subsequently joined the Football League entered. There were three future League clubs that entered that season's FA Cup: Darwen, Notts County, and Reading.
Source: "The FA Cup Complete Results" by Tony Brown (results of every game played from 11th November 1871 through to the end of the 1998-99 season).

Their first league game against Everton was played on 15th September 1888 (away). Notts County lost 1-2.
Source: "Rothmans Football Yearbook 2003-04"

Their first match against Nottingham Forest was played on 22nd March 1866.
http://tdifh.blogspot.com.au/2012/03/22-march-1866-first-trentside-derby.html
pagesdefoot.com/64-70.htm no longer exists

(Tony Brown has published a book with the results, and line-ups, of every match they've played since 1864, and would confirm or contradict, as the case may be, the above stats )

Only 10 of the 12 founder members played on 8th September 1888. Blackburn Rovers and Notts County did not play. I think Blackburn Rovers played Accrington a week later. Notts County are the oldest league team, and their first match was against Everton.