How to find a certain string/name in a txt file?

So im making a name generator/finder, So for the find command i want to find that name in the txt file with the line number! So how do i find the name with the line number?

line = 0

names = open(r"names.txt", "r")
name1 = names.readlines()

uname = input("Please enter the name you want to find: ")
for name in name1:
  try:
    print(name)
    print(line)
    if name == uname:
      print(f"Found name: {name} \nLine No. {line + 1}")
    else:
      line = line + 1
  except:
    print("Unable to process")

But it seems to not work except if you write the last name in file it works. So could give any help?