Blind Bartimeus - בר bar in Syriac signifies son. It appears that he was thus named because Timeus, Talmeus or Talmai, was the name of his father, and thus the son would be called Bar-talmeus, or Bartholomew. Some suppose υἱος Τιμαιου, the son of Timeus, to be an interpolation. Bartimeus the son of Timeus, ὁ τυφλος, The blind man. It was because he was the most remarkable that this evangelist mentions him by name, as a person probably well known in those parts.

they came.

Matthew 20:29 And as they departed from Jericho, a great multitude followed him.

*etc:

Luke 18:35 And it came to pass, that as he was come near to Jericho, a certain blind man sat by the way side begging:

*etc:

as he went. Luke says that this took place 'as he was come nigh unto Jericho,' and afterwards records an event which took place in that city. But the words [en to engizo autou eis lericho,] may be rendered, 'When he was nigh Jericho,' which is equally true of him who is gone a little way from it, as of him who is come near it; and as it is probable that Jesus stayed some days in the neighbourhood, this might occur as he went out of the city during that time, and he might afterwards re-enter it.

begging.

Luke 16:20,22 And there was a certain beggar named Lazarus, which was laid at his gate, full of sores...

John 9:8 The neighbors therefore, and they which before had seen him that he was blind, said, Is not this he that sat and begged?

Acts 3:2,3 And a certain man lame from his mother's womb was carried, whom they laid daily at the gate of the temple which is called Beautiful...

Bartimaeus
Blind Bartimaeus, the son of Timaeus, sat by the highway side begging.'--Mark x. 46. The narrative of this miracle is contained in all the Synoptical Gospels, but the accounts differ in two respects--as to the number of men restored to sight, and as to the scene of the miracle. Matthew tells us that there were two men healed, and agrees with Mark in placing the miracle as Jesus was leaving Jericho. Mark says that there was one, and that the place was outside the gate in departing. Luke, on the other …
Alexander Maclaren—Expositions of Holy Scripture

Children Brought to Christ, and not to the Font
The Scripture before us is by several of the champions on the other side exhibited to the people as a rebuke to me. Their reasoning is rather ingenious than forcible: forsooth, because the disciples incurred the displeasure of Jesus Christ by keeping back the little children from coming to Him, therefore Jesus Christ is greatly displeased with me, and with all others like me, for keeping children from the font, and the performance there enacted; and specially displeased with me for exposing the Anglican …
Charles Haddon Spurgeon—Spurgeon's Sermons Volume 10: 1864

The Blind Beggar
This morning I shall address myself most particularly to the poor and blind souls here to-day. The poor blind man's faith described in this passage of Scripture, is a fit picture of the faith which I pray God you may be enabled to exert to the saving of your souls. We shall notice the origin of his faith, how his faith perceived its opportunity when Jesus passed by; we shall listen to his faith while it cries and begs; we shall look upon his faith while it leaps in joyous obedience to the divine …
Charles Haddon Spurgeon—Spurgeon's Sermons Volume 5: 1859